390076560 has 200 divisors, whose sum is σ = 1434892536. Its totient is φ = 97873920.

The previous prime is 390076541. The next prime is 390076567. The reversal of 390076560 is 65670093.

It is a happy number.

390076560 is a `hidden beast` number, since 3 + 90 + 0 + 7 + 6 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 67371264 + 322705296 = 8208^2 + 17964^2 .

It is a super-2 number, since 2×390076560² = 304319445322867200, which contains 22 as substring.

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 (390076567) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 108390 + ... + 111930.

Almost surely, 2^390076560 is an apocalyptic number.

390076560 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 390076560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717446268).

390076560 is an abundant number, since it is smaller than the sum of its proper divisors (1044815976).

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

390076560 is a wasteful number, since it uses less digits than its factorization.

390076560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3583 (or 3568 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 390076560 is about 19750.3559461596. The cubic root of 390076560 is about 730.6621626844.

The spelling of 390076560 in words is "three hundred ninety million, seventy-six thousand, five hundred sixty".