465207072 has 48 divisors (see below), whose sum is σ = 1332186912. Its totient is φ = 140971520.

The previous prime is 465207059. The next prime is 465207073. The reversal of 465207072 is 270702564.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (465207073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 219213 + ... + 221324.

It is an arithmetic number, because the mean of its divisors is an integer number (27753894).

Almost surely, 2^465207072 is an apocalyptic number.

It is an amenable number.

465207072 is an abundant number, since it is smaller than the sum of its proper divisors (866979840).

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

465207072 is a wasteful number, since it uses less digits than its factorization.

465207072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440561 (or 440553 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 465207072 is about 21568.6594854664. The cubic root of 465207072 is about 774.8460725166.

The spelling of 465207072 in words is "four hundred sixty-five million, two hundred seven thousand, seventy-two".