465640416 has 36 divisors (see below), whose sum is σ = 1324165752. Its totient is φ = 155213376.

The previous prime is 465640411. The next prime is 465640423. The reversal of 465640416 is 614046564.

465640416 is a `hidden beast` number, since 4 + 6 + 5 + 640 + 4 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465640411) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 808116 + ... + 808691.

It is an arithmetic number, because the mean of its divisors is an integer number (36782382).

Almost surely, 2^465640416 is an apocalyptic number.

It is an amenable number.

465640416 is an abundant number, since it is smaller than the sum of its proper divisors (858525336).

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

465640416 is a wasteful number, since it uses less digits than its factorization.

465640416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616823 (or 1616812 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 465640416 is about 21578.7028340445. The cubic root of 465640416 is about 775.0865895620.

The spelling of 465640416 in words is "four hundred sixty-five million, six hundred forty thousand, four hundred sixteen".