468910560 has 96 divisors (see below), whose sum is σ = 1480066560. Its totient is φ = 124789248.

The previous prime is 468910529. The next prime is 468910573. The reversal of 468910560 is 65019864.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×468910560² = 439754226559027200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 440589 + ... + 441651.

It is an arithmetic number, because the mean of its divisors is an integer number (15417360).

Almost surely, 2^468910560 is an apocalyptic number.

468910560 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 468910560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740033280).

468910560 is an abundant number, since it is smaller than the sum of its proper divisors (1011156000).

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

468910560 is a wasteful number, since it uses less digits than its factorization.

468910560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2000 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 468910560 is about 21654.3427515129. The cubic root of 468910560 is about 776.8968092084.

The spelling of 468910560 in words is "four hundred sixty-eight million, nine hundred ten thousand, five hundred sixty".