468611760 has 80 divisors (see below), whose sum is σ = 1476557280. Its totient is φ = 122910720.

The previous prime is 468611707. The next prime is 468611809. The reversal of 468611760 is 67116864.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×468611760² = 439193963220595200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1365 + ... + 30644.

It is an arithmetic number, because the mean of its divisors is an integer number (18456966).

Almost surely, 2^468611760 is an apocalyptic number.

468611760 is a gapful number since it is divisible by the number (40) 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 468611760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738278640).

468611760 is an abundant number, since it is smaller than the sum of its proper divisors (1007945520).

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

468611760 is a wasteful number, since it uses less digits than its factorization.

468611760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32086 (or 32080 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 468611760 is about 21647.4423431499. The cubic root of 468611760 is about 776.7317556343.

The spelling of 468611760 in words is "four hundred sixty-eight million, six hundred eleven thousand, seven hundred sixty".