461931990480 has 100 divisors (see below), whose sum is σ = 1604358259812. Its totient is φ = 123181862400.

The previous prime is 461931990431. The next prime is 461931990511. The reversal of 461931990480 is 84099139164.

It is a happy number.

461931990480 is a `hidden beast` number, since 4 + 61 + 9 + 3 + 19 + 90 + 480 = 666.

461931990480 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 113614836624 + 348317153856 = 337068^2 + 590184^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35636421 + ... + 35649380.

Almost surely, 2^461931990480 is an apocalyptic number.

461931990480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461931990480 is an abundant number, since it is smaller than the sum of its proper divisors (1142426269332).

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

461931990480 is a wasteful number, since it uses less digits than its factorization.

461931990480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71285826 (or 71285811 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 461931990480 in words is "four hundred sixty-one billion, nine hundred thirty-one million, nine hundred ninety thousand, four hundred eighty".