465128640 has 84 divisors (see below), whose sum is σ = 1599858624. Its totient is φ = 124033536.

The previous prime is 465128633. The next prime is 465128663. The reversal of 465128640 is 46821564.

465128640 is a `hidden beast` number, since 4 + 6 + 5 + 1 + 2 + 8 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 465128595 and 465128604.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77872 + ... + 83631.

It is an arithmetic number, because the mean of its divisors is an integer number (19045936).

Almost surely, 2^465128640 is an apocalyptic number.

465128640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

465128640 is an abundant number, since it is smaller than the sum of its proper divisors (1134729984).

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

465128640 is a wasteful number, since it uses less digits than its factorization.

465128640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161526 (or 161513 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 465128640 is about 21566.8412151618. The cubic root of 465128640 is about 774.8025247816.

The spelling of 465128640 in words is "four hundred sixty-five million, one hundred twenty-eight thousand, six hundred forty".