460916031948 has 96 divisors (see below), whose sum is σ = 1146538229760. Its totient is φ = 143777916480.

The previous prime is 460916031839. The next prime is 460916031973. The reversal of 460916031948 is 849130619064.

It is a self number, because there is not a number n which added to its sum of digits gives 460916031948.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47615373 + ... + 47625051.

It is an arithmetic number, because the mean of its divisors is an integer number (11943106560).

Almost surely, 2^460916031948 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 460916031948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573269114880).

460916031948 is an abundant number, since it is smaller than the sum of its proper divisors (685622197812).

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

460916031948 is a wasteful number, since it uses less digits than its factorization.

460916031948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13427 (or 13425 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 460916031948 in words is "four hundred sixty billion, nine hundred sixteen million, thirty-one thousand, nine hundred forty-eight".