460005096400 has 120 divisors (see below), whose sum is σ = 1112532632640. Its totient is φ = 182778731520.

The previous prime is 460005096379. The next prime is 460005096433. The reversal of 460005096400 is 4690500064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40909179 + ... + 40920421.

It is an arithmetic number, because the mean of its divisors is an integer number (9271105272).

Almost surely, 2^460005096400 is an apocalyptic number.

460005096400 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 460005096400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556266316320).

460005096400 is an abundant number, since it is smaller than the sum of its proper divisors (652527536240).

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

460005096400 is a wasteful number, since it uses less digits than its factorization.

460005096400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11933 (or 11922 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

Adding to 460005096400 its reverse (4690500064), we get a palindrome (464695596464).

The spelling of 460005096400 in words is "four hundred sixty billion, five million, ninety-six thousand, four hundred".