462906632160 has 384 divisors, whose sum is σ = 1891028643840. Its totient is φ = 103555694592.

The previous prime is 462906632117. The next prime is 462906632171. The reversal of 462906632160 is 61236609264.

462906632160 is a `hidden beast` number, since 4 + 6 + 2 + 9 + 0 + 6 + 632 + 1 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1258432 + ... + 1584128.

It is an arithmetic number, because the mean of its divisors is an integer number (4924553760).

Almost surely, 2^462906632160 is an apocalyptic number.

462906632160 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 462906632160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945514321920).

462906632160 is an abundant number, since it is smaller than the sum of its proper divisors (1428122011680).

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

462906632160 is a wasteful number, since it uses less digits than its factorization.

462906632160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325775 (or 325761 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 462906632160 in words is "four hundred sixty-two billion, nine hundred six million, six hundred thirty-two thousand, one hundred sixty".