468575760 has 80 divisors (see below), whose sum is σ = 1538044416. Its totient is φ = 117602304.

The previous prime is 468575747. The next prime is 468575797. The reversal of 468575760 is 67575864.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 53344 + ... + 61503.

Almost surely, 2^468575760 is an apocalyptic number.

468575760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468575760 is an abundant number, since it is smaller than the sum of its proper divisors (1069468656).

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

468575760 is a wasteful number, since it uses less digits than its factorization.

468575760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114880 (or 114874 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The square root of 468575760 is about 21646.6108201723. The cubic root of 468575760 is about 776.7118649262.

The spelling of 468575760 in words is "four hundred sixty-eight million, five hundred seventy-five thousand, seven hundred sixty".