461562464 has 48 divisors (see below), whose sum is σ = 1006157376. Its totient is φ = 206659200.

The previous prime is 461562407. The next prime is 461562499. The reversal of 461562464 is 464265164.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13799 + ... + 33369.

It is an arithmetic number, because the mean of its divisors is an integer number (20961612).

Almost surely, 2^461562464 is an apocalyptic number.

461562464 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 461562464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503078688).

461562464 is an abundant number, since it is smaller than the sum of its proper divisors (544594912).

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

461562464 is a wasteful number, since it uses less digits than its factorization.

461562464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19659 (or 19651 counting only the distinct ones).

The product of its digits is 138240, while the sum is 38.

The square root of 461562464 is about 21484.0048408112. The cubic root of 461562464 is about 772.8172861835.

The spelling of 461562464 in words is "four hundred sixty-one million, five hundred sixty-two thousand, four hundred sixty-four".