461760864 has 48 divisors (see below), whose sum is σ = 1219882608. Its totient is φ = 152934912.

The previous prime is 461760863. The next prime is 461760877. The reversal of 461760864 is 468067164.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461760863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 247 + ... + 30390.

It is an arithmetic number, because the mean of its divisors is an integer number (25414221).

Almost surely, 2^461760864 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 461760864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609941304).

461760864 is an abundant number, since it is smaller than the sum of its proper divisors (758121744).

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

461760864 is a wasteful number, since it uses less digits than its factorization.

461760864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30807 (or 30799 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 461760864 is about 21488.6217333732. The cubic root of 461760864 is about 772.9280006934.

The spelling of 461760864 in words is "four hundred sixty-one million, seven hundred sixty thousand, eight hundred sixty-four".