390557700 has 180 divisors, whose sum is σ = 1363788580. Its totient is φ = 96111360.

The previous prime is 390557693. The next prime is 390557701. The reversal of 390557700 is 7755093.

390557700 is a `hidden beast` number, since 39 + 0 + 557 + 70 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 76842756 + 313714944 = 8766^2 + 17712^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 (390557701) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 103446 + ... + 107154.

Almost surely, 2^390557700 is an apocalyptic number.

390557700 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 390557700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681894290).

390557700 is an abundant number, since it is smaller than the sum of its proper divisors (973230880).

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

390557700 is a wasteful number, since it uses less digits than its factorization.

390557700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3748 (or 3732 counting only the distinct ones).

The product of its (nonzero) digits is 33075, while the sum is 36.

The square root of 390557700 is about 19762.5327324207. The cubic root of 390557700 is about 730.9624510447.

The spelling of 390557700 in words is "three hundred ninety million, five hundred fifty-seven thousand, seven hundred".