459928112400 has 405 divisors, whose sum is σ = 1627023693711. Its totient is φ = 120314557440.

The previous prime is 459928112341. The next prime is 459928112437. The reversal of 459928112400 is 4211829954.

It is a happy number.

The square root of 459928112400 is 678180.

It is a perfect power (a square), and thus also a powerful number.

459928112400 is a `hidden beast` number, since 4 + 599 + 2 + 8 + 1 + 12 + 40 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 95711034384 + 364217078016 = 309372^2 + 603504^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 80 ways as a sum of consecutive naturals, for example, 3621481137 + ... + 3621481263.

Almost surely, 2^459928112400 is an apocalyptic number.

459928112400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

459928112400 is the 678180-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 459928112400

459928112400 is an abundant number, since it is smaller than the sum of its proper divisors (1167095581311).

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

459928112400 is a wasteful number, since it uses less digits than its factorization.

459928112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 459928112400 in words is "four hundred fifty-nine billion, nine hundred twenty-eight million, one hundred twelve thousand, four hundred".