465456408 has 32 divisors (see below), whose sum is σ = 1168292160. Its totient is φ = 154532000.

The previous prime is 465456403. The next prime is 465456457. The reversal of 465456408 is 804654564.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 465456408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465456401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32610 + ... + 44657.

It is an arithmetic number, because the mean of its divisors is an integer number (36509130).

Almost surely, 2^465456408 is an apocalyptic number.

It is an amenable number.

465456408 is an abundant number, since it is smaller than the sum of its proper divisors (702835752).

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

465456408 is a wasteful number, since it uses less digits than its factorization.

465456408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77527 (or 77523 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The square root of 465456408 is about 21574.4387644268. The cubic root of 465456408 is about 774.9844786347.

The spelling of 465456408 in words is "four hundred sixty-five million, four hundred fifty-six thousand, four hundred eight".