399346464 has 144 divisors (see below), whose sum is σ = 1190488320. Its totient is φ = 117004800.

The previous prime is 399346457. The next prime is 399346477. The reversal of 399346464 is 464643993.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 359542 + ... + 360650.

It is an arithmetic number, because the mean of its divisors is an integer number (8267280).

Almost surely, 2^399346464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 399346464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595244160).

399346464 is an abundant number, since it is smaller than the sum of its proper divisors (791141856).

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

399346464 is a wasteful number, since it uses less digits than its factorization.

399346464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175 (or 1156 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 48.

The square root of 399346464 is about 19983.6549209598. The cubic root of 399346464 is about 736.4048064551.

The spelling of 399346464 in words is "three hundred ninety-nine million, three hundred forty-six thousand, four hundred sixty-four".