461461264 has 40 divisors (see below), whose sum is σ = 984035232. Its totient is φ = 207889920.

The previous prime is 461461219. The next prime is 461461289. The reversal of 461461264 is 462164164.

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, 8287 + ... + 31489.

Almost surely, 2^461461264 is an apocalyptic number.

461461264 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 461461264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492017616).

461461264 is an abundant number, since it is smaller than the sum of its proper divisors (522573968).

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

461461264 is a wasteful number, since it uses less digits than its factorization.

461461264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23335 (or 23329 counting only the distinct ones).

The product of its digits is 27648, while the sum is 34.

The square root of 461461264 is about 21481.6494711184. The cubic root of 461461264 is about 772.7608006356.

The spelling of 461461264 in words is "four hundred sixty-one million, four hundred sixty-one thousand, two hundred sixty-four".