399224760480 has 3072 divisors, whose sum is σ = 1966449623040. Its totient is φ = 73256140800.

The previous prime is 399224760461. The next prime is 399224760553. The reversal of 399224760480 is 84067422993.

399224760480 is a `hidden beast` number, since 3 + 9 + 9 + 2 + 24 + 7 + 604 + 8 + 0 = 666.

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

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 511 ways as a sum of consecutive naturals, for example, 8494143817 + ... + 8494143863.

It is an arithmetic number, because the mean of its divisors is an integer number (640120320).

Almost surely, 2^399224760480 is an apocalyptic number.

399224760480 is a gapful number since it is divisible by the number (30) 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 399224760480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983224811520).

399224760480 is an abundant number, since it is smaller than the sum of its proper divisors (1567224862560).

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

399224760480 is a wasteful number, since it uses less digits than its factorization.

399224760480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 399224760480 in words is "three hundred ninety-nine billion, two hundred twenty-four million, seven hundred sixty thousand, four hundred eighty".