390735360 has 160 divisors (see below), whose sum is σ = 1388170080. Its totient is φ = 104177664.

The previous prime is 390735337. The next prime is 390735383. The reversal of 390735360 is 63537093.

It is an interprime number because it is at equal distance from previous prime (390735337) and next prime (390735383).

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66294 + ... + 71946.

It is an arithmetic number, because the mean of its divisors is an integer number (8676063).

Almost surely, 2^390735360 is an apocalyptic number.

390735360 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 390735360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694085040).

390735360 is an abundant number, since it is smaller than the sum of its proper divisors (997434720).

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

390735360 is an equidigital number, since it uses as much as digits as its factorization.

390735360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5685 (or 5663 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 36.

The square root of 390735360 is about 19767.0270905870. The cubic root of 390735360 is about 731.0732695853.

The spelling of 390735360 in words is "three hundred ninety million, seven hundred thirty-five thousand, three hundred sixty".