461934264 has 64 divisors (see below), whose sum is σ = 1266554880. Its totient is φ = 139232000.

The previous prime is 461934241. The next prime is 461934281. The reversal of 461934264 is 462439164.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45844 + ... + 55004.

It is an arithmetic number, because the mean of its divisors is an integer number (19789920).

Almost surely, 2^461934264 is an apocalyptic number.

461934264 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 461934264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633277440).

461934264 is an abundant number, since it is smaller than the sum of its proper divisors (804620616).

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

461934264 is a wasteful number, since it uses less digits than its factorization.

461934264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9372 (or 9368 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 461934264 is about 21492.6560480551. The cubic root of 461934264 is about 773.0247383144.

It can be divided in two parts, 4619 and 34264, that added together give a palindrome (38883).

The spelling of 461934264 in words is "four hundred sixty-one million, nine hundred thirty-four thousand, two hundred sixty-four".