461551493520 has 640 divisors, whose sum is σ = 1803484569600. Its totient is φ = 107641239552.

The previous prime is 461551493503. The next prime is 461551493537. The reversal of 461551493520 is 25394155164.

It is a happy number.

461551493520 is a `hidden beast` number, since 4 + 6 + 1 + 551 + 4 + 93 + 5 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (461551493503) and next prime (461551493537).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 69101541 + ... + 69108219.

It is an arithmetic number, because the mean of its divisors is an integer number (2817944640).

Almost surely, 2^461551493520 is an apocalyptic number.

461551493520 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 461551493520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901742284800).

461551493520 is an abundant number, since it is smaller than the sum of its proper divisors (1341933076080).

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

461551493520 is a wasteful number, since it uses less digits than its factorization.

461551493520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6844 (or 6832 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 461551493520 in words is "four hundred sixty-one billion, five hundred fifty-one million, four hundred ninety-three thousand, five hundred twenty".