461519520 has 192 divisors, whose sum is σ = 1812658176. Its totient is φ = 95892480.

The previous prime is 461519507. The next prime is 461519533. The reversal of 461519520 is 25915164.

It is an interprime number because it is at equal distance from previous prime (461519507) and next prime (461519533).

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 30717 + ... + 43203.

It is an arithmetic number, because the mean of its divisors is an integer number (9440928).

Almost surely, 2^461519520 is an apocalyptic number.

461519520 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 461519520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906329088).

461519520 is an abundant number, since it is smaller than the sum of its proper divisors (1351138656).

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

461519520 is a wasteful number, since it uses less digits than its factorization.

461519520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12523 (or 12515 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 461519520 is about 21483.0053763434. The cubic root of 461519520 is about 772.7933176726.

The spelling of 461519520 in words is "four hundred sixty-one million, five hundred nineteen thousand, five hundred twenty".