399934080 has 576 divisors, whose sum is σ = 1745944200. Its totient is φ = 83607552.

The previous prime is 399934057. The next prime is 399934111. The reversal of 399934080 is 80439993.

It can be written as a sum of positive squares in 4 ways, for example, as 287913024 + 112021056 = 16968^2 + 10584^2 .

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3669066 + ... + 3669174.

Almost surely, 2^399934080 is an apocalyptic number.

399934080 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 399934080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872972100).

399934080 is an abundant number, since it is smaller than the sum of its proper divisors (1346010120).

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

399934080 is a wasteful number, since it uses less digits than its factorization.

399934080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 399934080 is about 19998.3519320968. The cubic root of 399934080 is about 736.7658222784.

The spelling of 399934080 in words is "three hundred ninety-nine million, nine hundred thirty-four thousand, eighty".