465072615 has 96 divisors (see below), whose sum is σ = 952248960. Its totient is φ = 205590528.

The previous prime is 465072607. The next prime is 465072617. The reversal of 465072615 is 516270564.

It is a happy number.

It is not a de Polignac number, because 465072615 - 2³ = 465072607 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 465072615.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465072617) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1485699 + ... + 1486011.

It is an arithmetic number, because the mean of its divisors is an integer number (9919260).

Almost surely, 2^465072615 is an apocalyptic number.

465072615 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

465072615 is an abundant number, since it is smaller than the sum of its proper divisors (487176345).

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

465072615 is a wasteful number, since it uses less digits than its factorization.

465072615 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 465072615 is about 21565.5423071158. The cubic root of 465072615 is about 774.7714150694.

The spelling of 465072615 in words is "four hundred sixty-five million, seventy-two thousand, six hundred fifteen".