461522880 has 448 divisors, whose sum is σ = 2007290880. Its totient is φ = 97210368.

The previous prime is 461522869. The next prime is 461522917. The reversal of 461522880 is 88225164.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 785947 + ... + 786533.

It is an arithmetic number, because the mean of its divisors is an integer number (4480560).

Almost surely, 2^461522880 is an apocalyptic number.

461522880 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 461522880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003645440).

461522880 is an abundant number, since it is smaller than the sum of its proper divisors (1545768000).

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

461522880 is a wasteful number, since it uses less digits than its factorization.

461522880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 461522880 is about 21483.0835775500. The cubic root of 461522880 is about 772.7951930568.

It can be divided in two parts, 4615 and 22880, that added together give a triangular number (27495 = T₂₃₄).

The spelling of 461522880 in words is "four hundred sixty-one million, five hundred twenty-two thousand, eight hundred eighty".