390379500 has 432 divisors, whose sum is σ = 1547477568. Its totient is φ = 83980800.

The previous prime is 390379471. The next prime is 390379501. The reversal of 390379500 is 5973093.

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

It is not an unprimeable number, because it can be changed into a prime (390379501) 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 143 ways as a sum of consecutive naturals, for example, 22963492 + ... + 22963508.

It is an arithmetic number, because the mean of its divisors is an integer number (3582124).

Almost surely, 2^390379500 is an apocalyptic number.

390379500 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 390379500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773738784).

390379500 is an abundant number, since it is smaller than the sum of its proper divisors (1157098068).

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

390379500 is an equidigital number, since it uses as much as digits as its factorization.

390379500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 25515, while the sum is 36.

The square root of 390379500 is about 19758.0236865938. The cubic root of 390379500 is about 730.8512619044.

The spelling of 390379500 in words is "three hundred ninety million, three hundred seventy-nine thousand, five hundred".