390372048 has 200 divisors, whose sum is σ = 1247732640. Its totient is φ = 116847360.

The previous prime is 390372013. The next prime is 390372049. The reversal of 390372048 is 840273093.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390372049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1981486 + ... + 1981682.

Almost surely, 2^390372048 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 390372048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623866320).

390372048 is an abundant number, since it is smaller than the sum of its proper divisors (857360592).

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

390372048 is a wasteful number, since it uses less digits than its factorization.

390372048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 390372048 is about 19757.8351040796. The cubic root of 390372048 is about 730.8466114397.

The spelling of 390372048 in words is "three hundred ninety million, three hundred seventy-two thousand, forty-eight".