462056364 has 288 divisors, whose sum is σ = 1587855360. Its totient is φ = 109641600.

The previous prime is 462056363. The next prime is 462056369. The reversal of 462056364 is 463650264.

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

It is not an unprimeable number, because it can be changed into a prime (462056363) 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, 1632567 + ... + 1632849.

Almost surely, 2^462056364 is an apocalyptic number.

462056364 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462056364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793927680).

462056364 is an abundant number, since it is smaller than the sum of its proper divisors (1125798996).

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

462056364 is a wasteful number, since it uses less digits than its factorization.

462056364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 462056364 is about 21495.4963655181. The cubic root of 462056364 is about 773.0928418037.

The spelling of 462056364 in words is "four hundred sixty-two million, fifty-six thousand, three hundred sixty-four".