465388056 has 192 divisors, whose sum is σ = 1578657600. Its totient is φ = 120766464.

The previous prime is 465388043. The next prime is 465388057. The reversal of 465388056 is 650883564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465388057) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 247536 + ... + 249408.

It is an arithmetic number, because the mean of its divisors is an integer number (8222175).

Almost surely, 2^465388056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 465388056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789328800).

465388056 is an abundant number, since it is smaller than the sum of its proper divisors (1113269544).

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

465388056 is a wasteful number, since it uses less digits than its factorization.

465388056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1938 (or 1931 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 465388056 is about 21572.8546094392. The cubic root of 465388056 is about 774.9465414392.

It can be divided in two parts, 465 and 388056, that added together give a triangular number (388521 = T₈₈₁).

The spelling of 465388056 in words is "four hundred sixty-five million, three hundred eighty-eight thousand, fifty-six".