461095488 has 378 divisors, whose sum is σ = 1682068518. Its totient is φ = 119992320.

The previous prime is 461095469. The next prime is 461095501. The reversal of 461095488 is 884590164.

It can be written as a sum of positive squares in only one way, i.e., 433972224 + 27123264 = 20832^2 + 5208^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 14874033 + ... + 14874063.

Almost surely, 2^461095488 is an apocalyptic number.

461095488 is a gapful number since it is divisible by the number (48) 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 461095488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841034259).

461095488 is an abundant number, since it is smaller than the sum of its proper divisors (1220973030).

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

461095488 is a wasteful number, since it uses less digits than its factorization.

461095488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 461095488 is about 21473.1340982168. The cubic root of 461095488 is about 772.5565710920.

The spelling of 461095488 in words is "four hundred sixty-one million, ninety-five thousand, four hundred eighty-eight".