390705120 has 288 divisors, whose sum is σ = 1490946912. Its totient is φ = 96049152.

The previous prime is 390705109. The next prime is 390705157. The reversal of 390705120 is 21507093.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 505054 + ... + 505826.

It is an arithmetic number, because the mean of its divisors is an integer number (5176899).

Almost surely, 2^390705120 is an apocalyptic number.

390705120 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 390705120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745473456).

390705120 is an abundant number, since it is smaller than the sum of its proper divisors (1100241792).

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

390705120 is a wasteful number, since it uses less digits than its factorization.

390705120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 390705120 is about 19766.2621656195. The cubic root of 390705120 is about 731.0544092276.

The spelling of 390705120 in words is "three hundred ninety million, seven hundred five thousand, one hundred twenty".