460274276400 has 120 divisors (see below), whose sum is σ = 1477061136144. Its totient is φ = 122519270400.

The previous prime is 460274276369. The next prime is 460274276447. The reversal of 460274276400 is 4672472064.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 324090 + ... + 1012710.

Almost surely, 2^460274276400 is an apocalyptic number.

460274276400 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 460274276400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738530568072).

460274276400 is an abundant number, since it is smaller than the sum of its proper divisors (1016786859744).

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

460274276400 is a wasteful number, since it uses less digits than its factorization.

460274276400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689199 (or 689188 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 42.

The spelling of 460274276400 in words is "four hundred sixty billion, two hundred seventy-four million, two hundred seventy-six thousand, four hundred".