460306715400 has 432 divisors, whose sum is σ = 1800338342400. Its totient is φ = 105090773760.

The previous prime is 460306715383. The next prime is 460306715423. The reversal of 460306715400 is 4517603064.

It is a happy number.

460306715400 is a `hidden beast` number, since 4 + 603 + 0 + 6 + 7 + 1 + 5 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 91637289 + ... + 91642311.

Almost surely, 2^460306715400 is an apocalyptic number.

460306715400 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 460306715400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900169171200).

460306715400 is an abundant number, since it is smaller than the sum of its proper divisors (1340031627000).

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

460306715400 is a wasteful number, since it uses less digits than its factorization.

460306715400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6098 (or 6079 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 460306715400 in words is "four hundred sixty billion, three hundred six million, seven hundred fifteen thousand, four hundred".