456999932340 has 192 divisors, whose sum is σ = 1626206400000. Its totient is φ = 104372416512.

The previous prime is 456999932317. The next prime is 456999932359. The reversal of 456999932340 is 43239999654.

456999932340 is a `hidden beast` number, since 4 + 569 + 9 + 9 + 9 + 3 + 23 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4672822 + ... + 4769618.

It is an arithmetic number, because the mean of its divisors is an integer number (8469825000).

Almost surely, 2^456999932340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456999932340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813103200000).

456999932340 is an abundant number, since it is smaller than the sum of its proper divisors (1169206467660).

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

456999932340 is a wasteful number, since it uses less digits than its factorization.

456999932340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98071 (or 98063 counting only the distinct ones).

The product of its (nonzero) digits is 56687040, while the sum is 63.

The spelling of 456999932340 in words is "four hundred fifty-six billion, nine hundred ninety-nine million, nine hundred thirty-two thousand, three hundred forty".