390406883328 has 864 divisors, whose sum is σ = 1500787491840. Its totient is φ = 95374540800.

The previous prime is 390406883303. The next prime is 390406883333. The reversal of 390406883328 is 823388604093.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 265401633 + ... + 265403103.

It is an arithmetic number, because the mean of its divisors is an integer number (1737022560).

Almost surely, 2^390406883328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390406883328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750393745920).

390406883328 is an abundant number, since it is smaller than the sum of its proper divisors (1110380608512).

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

390406883328 is a wasteful number, since it uses less digits than its factorization.

390406883328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1545 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 390406883328 in words is "three hundred ninety billion, four hundred six million, eight hundred eighty-three thousand, three hundred twenty-eight".