447520084790400 has 480 divisors, whose sum is σ = 1664451172116480. Its totient is φ = 118399005849600.

The previous prime is 447520084790297. The next prime is 447520084790411. The reversal of 447520084790400 is 4097480025744.

447520084790400 is a `hidden beast` number, since 4 + 4 + 7 + 520 + 0 + 8 + 4 + 79 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 26120985 + ... + 39715815.

It is an arithmetic number, because the mean of its divisors is an integer number (3467606608576).

Almost surely, 2^{447520084790400} is an apocalyptic number.

447520084790400 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 447520084790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832225586058240).

447520084790400 is an abundant number, since it is smaller than the sum of its proper divisors (1216931087326080).

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

447520084790400 is a wasteful number, since it uses less digits than its factorization.

447520084790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13594994 (or 13594968 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 447520084790400 in words is "four hundred forty-seven trillion, five hundred twenty billion, eighty-four million, seven hundred ninety thousand, four hundred".