390969488400 has 720 divisors, whose sum is σ = 1376477971200. Its totient is φ = 94794219520.

The previous prime is 390969488389. The next prime is 390969488431. The reversal of 390969488400 is 4884969093.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 143 ways as a sum of consecutive naturals, for example, 1635855481 + ... + 1635855719.

It is an arithmetic number, because the mean of its divisors is an integer number (1911774960).

Almost surely, 2^390969488400 is an apocalyptic number.

390969488400 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 390969488400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688238985600).

390969488400 is an abundant number, since it is smaller than the sum of its proper divisors (985508482800).

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

390969488400 is a wasteful number, since it uses less digits than its factorization.

390969488400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 60.

The spelling of 390969488400 in words is "three hundred ninety billion, nine hundred sixty-nine million, four hundred eighty-eight thousand, four hundred".