479525845478400 has 6336 divisors, whose sum is σ = 2296914508062720. Its totient is φ = 96487892582400.

The previous prime is 479525845478371. The next prime is 479525845478413. The reversal of 479525845478400 is 4874548525974.

479525845478400 is a `hidden beast` number, since 4 + 7 + 9 + 5 + 25 + 84 + 54 + 78 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1448718566235 + ... + 1448718566565.

Almost surely, 2^{479525845478400} is an apocalyptic number.

479525845478400 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 479525845478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1148457254031360).

479525845478400 is an abundant number, since it is smaller than the sum of its proper divisors (1817388662584320).

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

479525845478400 is a wasteful number, since it uses less digits than its factorization.

479525845478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 1806336000, while the sum is 72.

The spelling of 479525845478400 in words is "four hundred seventy-nine trillion, five hundred twenty-five billion, eight hundred forty-five million, four hundred seventy-eight thousand, four hundred".