390233088 has 264 divisors, whose sum is σ = 1348858368. Its totient is φ = 106242048.

The previous prime is 390233087. The next prime is 390233089. The reversal of 390233088 is 880332093.

It is an interprime number because it is at equal distance from previous prime (390233087) and next prime (390233089).

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 (390233087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1483645 + ... + 1483907.

It is an arithmetic number, because the mean of its divisors is an integer number (5109312).

Almost surely, 2^390233088 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 390233088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674429184).

390233088 is an abundant number, since it is smaller than the sum of its proper divisors (958625280).

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

390233088 is a wasteful number, since it uses less digits than its factorization.

390233088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 390233088 is about 19754.3182114696. The cubic root of 390233088 is about 730.7598817856.

The spelling of 390233088 in words is "three hundred ninety million, two hundred thirty-three thousand, eighty-eight".