399597120 has 252 divisors, whose sum is σ = 1490119956. Its totient is φ = 98242560.

The previous prime is 399597083. The next prime is 399597127. The reversal of 399597120 is 21795993.

It is a happy number.

399597120 is a `hidden beast` number, since 39 + 9 + 597 + 1 + 20 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 119771136 + 279825984 = 10944^2 + 16728^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (399597127) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 486310 + ... + 487130.

Almost surely, 2^399597120 is an apocalyptic number.

399597120 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 399597120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745059978).

399597120 is an abundant number, since it is smaller than the sum of its proper divisors (1090522836).

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

399597120 is a wasteful number, since it uses less digits than its factorization.

399597120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The square root of 399597120 is about 19989.9254625924. The cubic root of 399597120 is about 736.5588461960.

The spelling of 399597120 in words is "three hundred ninety-nine million, five hundred ninety-seven thousand, one hundred twenty".