390948120 has 256 divisors, whose sum is σ = 1363824000. Its totient is φ = 100776960.

The previous prime is 390948109. The next prime is 390948127. The reversal of 390948120 is 21849093.

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 (390948127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3586626 + ... + 3586734.

Almost surely, 2^390948120 is an apocalyptic number.

390948120 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 390948120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681912000).

390948120 is an abundant number, since it is smaller than the sum of its proper divisors (972875880).

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

390948120 is a wasteful number, since it uses less digits than its factorization.

390948120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 390948120 is about 19772.4080475798. The cubic root of 390948120 is about 731.2059381735.

The spelling of 390948120 in words is "three hundred ninety million, nine hundred forty-eight thousand, one hundred twenty".