468125280 has 144 divisors (see below), whose sum is σ = 1825727904. Its totient is φ = 106997760.

The previous prime is 468125269. The next prime is 468125297. The reversal of 468125280 is 82521864.

It is a tau number, because it is divible by the number of its divisors (144).

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13141 + ... + 33300.

It is an arithmetic number, because the mean of its divisors is an integer number (12678666).

Almost surely, 2^468125280 is an apocalyptic number.

468125280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

468125280 is an abundant number, since it is smaller than the sum of its proper divisors (1357602624).

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

468125280 is a wasteful number, since it uses less digits than its factorization.

468125280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46469 (or 46458 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 468125280 is about 21636.2029940561. The cubic root of 468125280 is about 776.4628796836.

The spelling of 468125280 in words is "four hundred sixty-eight million, one hundred twenty-five thousand, two hundred eighty".