461070560 has 48 divisors (see below), whose sum is σ = 1093520736. Its totient is φ = 183710208.

The previous prime is 461070559. The next prime is 461070601. The reversal of 461070560 is 65070164.

It is a super-2 number, since 2×461070560² = 425172122597427200, which contains 22 as substring.

It is a congruent number.

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, 36602 + ... + 47558.

It is an arithmetic number, because the mean of its divisors is an integer number (22781682).

Almost surely, 2^461070560 is an apocalyptic number.

461070560 is a gapful number since it is divisible by the number (40) 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 461070560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546760368).

461070560 is an abundant number, since it is smaller than the sum of its proper divisors (632450176).

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

461070560 is a wasteful number, since it uses less digits than its factorization.

461070560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11235 (or 11227 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 461070560 is about 21472.5536441291. The cubic root of 461070560 is about 772.5426487138.

The spelling of 461070560 in words is "four hundred sixty-one million, seventy thousand, five hundred sixty".