399083760 has 160 divisors (see below), whose sum is σ = 1392202560. Its totient is φ = 106375680.

The previous prime is 399083759. The next prime is 399083767. The reversal of 399083760 is 67380993.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (399083767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173820 + ... + 176100.

It is an arithmetic number, because the mean of its divisors is an integer number (8701266).

Almost surely, 2^399083760 is an apocalyptic number.

399083760 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 399083760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696101280).

399083760 is an abundant number, since it is smaller than the sum of its proper divisors (993118800).

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

399083760 is an equidigital number, since it uses as much as digits as its factorization.

399083760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2315 (or 2291 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 399083760 is about 19977.0808678345. The cubic root of 399083760 is about 736.2432934649.

The spelling of 399083760 in words is "three hundred ninety-nine million, eighty-three thousand, seven hundred sixty".