461051264 has 64 divisors (see below), whose sum is σ = 976935600. Its totient is φ = 216115200.

The previous prime is 461051257. The next prime is 461051281. The reversal of 461051264 is 462150164.

It is a tau number, because it is divible by the number of its divisors (64).

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, 244694 + ... + 246570.

Almost surely, 2^461051264 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 461051264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488467800).

461051264 is an abundant number, since it is smaller than the sum of its proper divisors (515884336).

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

461051264 is a wasteful number, since it uses less digits than its factorization.

461051264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2011 (or 1999 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 461051264 is about 21472.1043216542. The cubic root of 461051264 is about 772.5318714835.

The spelling of 461051264 in words is "four hundred sixty-one million, fifty-one thousand, two hundred sixty-four".