461140880 has 40 divisors (see below), whose sum is σ = 1073683512. Its totient is φ = 184193024.

The previous prime is 461140837. The next prime is 461140931. The reversal of 461140880 is 88041164.

It can be written as a sum of positive squares in 4 ways, for example, as 952576 + 460188304 = 976^2 + 21452^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×461140880² = 425301822414348800, which contains 22 as substring.

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, 58112 + ... + 65568.

Almost surely, 2^461140880 is an apocalyptic number.

461140880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461140880 is an abundant number, since it is smaller than the sum of its proper divisors (612542632).

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

461140880 is a wasteful number, since it uses less digits than its factorization.

461140880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8243 (or 8237 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 461140880 is about 21474.1910208511. The cubic root of 461140880 is about 772.5819213995.

The spelling of 461140880 in words is "four hundred sixty-one million, one hundred forty thousand, eight hundred eighty".