390729600 has 144 divisors (see below), whose sum is σ = 1394315520. Its totient is φ = 104186880.

The previous prime is 390729593. The next prime is 390729601. The reversal of 390729600 is 6927093.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390729601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 22017 + ... + 35583.

Almost surely, 2^390729600 is an apocalyptic number.

390729600 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 390729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697157760).

390729600 is an abundant number, since it is smaller than the sum of its proper divisors (1003585920).

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

390729600 is a wasteful number, since it uses less digits than its factorization.

390729600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13597 (or 13577 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 390729600 is about 19766.8813928753. The cubic root of 390729600 is about 731.0696772112.

The spelling of 390729600 in words is "three hundred ninety million, seven hundred twenty-nine thousand, six hundred".