464868 has 36 divisors (see below), whose sum is σ = 1210300. Its totient is φ = 150336.

The previous prime is 464857. The next prime is 464879. The reversal of 464868 is 868464.

464868 is a `hidden beast` number, since 4 + 648 + 6 + 8 = 666.

464868 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (464857) and next prime (464879).

It can be written as a sum of positive squares in 2 ways, for example, as 381924 + 82944 = 618^2 + 288^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×464868² = 432204514848, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 9.

It is an unprimeable number.

464868 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1158 + ... + 1506.

2⁴⁶⁴⁸⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605150).

464868 is an abundant number, since it is smaller than the sum of its proper divisors (745432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

464868 is a wasteful number, since it uses less digits than its factorization.

464868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 391 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 464868 is about 681.8122908836. The cubic root of 464868 is about 77.4657774674.

The spelling of 464868 in words is "four hundred sixty-four thousand, eight hundred sixty-eight".