465084720 has 80 divisors (see below), whose sum is σ = 1601965920. Its totient is φ = 124022016.

The previous prime is 465084673. The next prime is 465084731. The reversal of 465084720 is 27480564.

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 (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105499 + ... + 109818.

It is an arithmetic number, because the mean of its divisors is an integer number (20024574).

Almost surely, 2^465084720 is an apocalyptic number.

465084720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

465084720 is an abundant number, since it is smaller than the sum of its proper divisors (1136881200).

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

465084720 is a wasteful number, since it uses less digits than its factorization.

465084720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215339 (or 215327 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 465084720 is about 21565.8229613433. The cubic root of 465084720 is about 774.7781369779.

The spelling of 465084720 in words is "four hundred sixty-five million, eighty-four thousand, seven hundred twenty".