390873600 has 600 divisors, whose sum is σ = 1611654660. Its totient is φ = 92897280.

The previous prime is 390873583. The next prime is 390873601. The reversal of 390873600 is 6378093.

It can be written as a sum of positive squares in 6 ways, for example, as 77158656 + 313714944 = 8784^2 + 17712^2 .

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (390873601) 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, 13478386 + ... + 13478414.

Almost surely, 2^390873600 is an apocalyptic number.

390873600 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 390873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805827330).

390873600 is an abundant number, since it is smaller than the sum of its proper divisors (1220781060).

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

390873600 is a wasteful number, since it uses less digits than its factorization.

390873600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 390873600 is about 19770.5235135542. The cubic root of 390873600 is about 731.1594759737.

The spelling of 390873600 in words is "three hundred ninety million, eight hundred seventy-three thousand, six hundred".