390362960 has 80 divisors (see below), whose sum is σ = 983634960. Its totient is φ = 144069120.

The previous prime is 390362957. The next prime is 390362963. The reversal of 390362960 is 69263093.

It is an interprime number because it is at equal distance from previous prime (390362957) and next prime (390362963).

It can be written as a sum of positive squares in 8 ways, for example, as 261404224 + 128958736 = 16168^2 + 11356^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390362963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174650 + ... + 176870.

It is an arithmetic number, because the mean of its divisors is an integer number (12295437).

Almost surely, 2^390362960 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 390362960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491817480).

390362960 is an abundant number, since it is smaller than the sum of its proper divisors (593272000).

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

390362960 is a wasteful number, since it uses less digits than its factorization.

390362960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2273 (or 2241 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 38.

The square root of 390362960 is about 19757.6051180299. The cubic root of 390362960 is about 730.8409399394.

The spelling of 390362960 in words is "three hundred ninety million, three hundred sixty-two thousand, nine hundred sixty".