390629606400 has 1056 divisors, whose sum is σ = 1586323468800. Its totient is φ = 93406003200.

The previous prime is 390629606399. The next prime is 390629606407. The reversal of 390629606400 is 4606926093.

390629606400 is a `hidden beast` number, since 39 + 0 + 6 + 2 + 9 + 606 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

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

It is not an unprimeable number, because it can be changed into a prime (390629606407) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 631065291 + ... + 631065909.

Almost surely, 2^390629606400 is an apocalyptic number.

390629606400 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 390629606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793161734400).

390629606400 is an abundant number, since it is smaller than the sum of its proper divisors (1195693862400).

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

390629606400 is a wasteful number, since it uses less digits than its factorization.

390629606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 390629606400 in words is "three hundred ninety billion, six hundred twenty-nine million, six hundred six thousand, four hundred".