464885568 has 280 divisors, whose sum is σ = 1646358912. Its totient is φ = 126821376.

The previous prime is 464885567. The next prime is 464885581. The reversal of 464885568 is 865588464.

464885568 is a `hidden beast` number, since 4 + 6 + 4 + 88 + 556 + 8 = 666.

It is a super-2 number, since 2×464885568² = 432237182669365248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464885567) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 834346 + ... + 834902.

Almost surely, 2^464885568 is an apocalyptic number.

464885568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464885568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823179456).

464885568 is an abundant number, since it is smaller than the sum of its proper divisors (1181473344).

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

464885568 is a wasteful number, since it uses less digits than its factorization.

464885568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 592 counting only the distinct ones).

The product of its digits is 7372800, while the sum is 54.

The square root of 464885568 is about 21561.2051611221. The cubic root of 464885568 is about 774.6675330112.

The spelling of 464885568 in words is "four hundred sixty-four million, eight hundred eighty-five thousand, five hundred sixty-eight".