460397236320 has 576 divisors, whose sum is σ = 1822026286080. Its totient is φ = 103693824000.

The previous prime is 460397236309. The next prime is 460397236337. The reversal of 460397236320 is 23632793064.

460397236320 is a `hidden beast` number, since 4 + 6 + 0 + 3 + 9 + 7 + 2 + 3 + 632 + 0 = 666.

It is a super-2 number, since 2×460397236320² (a number of 24 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 199391326 + ... + 199393634.

It is an arithmetic number, because the mean of its divisors is an integer number (3163240080).

Almost surely, 2^460397236320 is an apocalyptic number.

460397236320 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 460397236320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911013143040).

460397236320 is an abundant number, since it is smaller than the sum of its proper divisors (1361629049760).

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

460397236320 is a wasteful number, since it uses less digits than its factorization.

460397236320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2619 (or 2608 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 45.

The spelling of 460397236320 in words is "four hundred sixty billion, three hundred ninety-seven million, two hundred thirty-six thousand, three hundred twenty".