461880487200 has 144 divisors (see below), whose sum is σ = 1640095714656. Its totient is φ = 111971020800.

The previous prime is 461880487193. The next prime is 461880487241. The reversal of 461880487200 is 2784088164.

It is a super-2 number, since 2×461880487200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 461880487200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8721337 + ... + 8774136.

It is an arithmetic number, because the mean of its divisors is an integer number (11389553574).

Almost surely, 2^461880487200 is an apocalyptic number.

461880487200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461880487200 is an abundant number, since it is smaller than the sum of its proper divisors (1178215227456).

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

461880487200 is a wasteful number, since it uses less digits than its factorization.

461880487200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17495507 (or 17495494 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 48.

The spelling of 461880487200 in words is "four hundred sixty-one billion, eight hundred eighty million, four hundred eighty-seven thousand, two hundred".