461539451520 has 1920 divisors, whose sum is σ = 2061518817600. Its totient is φ = 97820835840.

The previous prime is 461539451519. The next prime is 461539451543. The reversal of 461539451520 is 25154935164.

It is a happy number.

461539451520 is a `hidden beast` number, since 4 + 61 + 53 + 9 + 4 + 515 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 239 ways as a sum of consecutive naturals, for example, 3523201855 + ... + 3523201985.

Almost surely, 2^461539451520 is an apocalyptic number.

461539451520 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 461539451520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030759408800).

461539451520 is an abundant number, since it is smaller than the sum of its proper divisors (1599979366080).

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

461539451520 is a wasteful number, since it uses less digits than its factorization.

461539451520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 240 counting only the distinct ones).

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

The spelling of 461539451520 in words is "four hundred sixty-one billion, five hundred thirty-nine million, four hundred fifty-one thousand, five hundred twenty".