399081600 has 384 divisors, whose sum is σ = 1517760000. Its totient is φ = 102297600.

The previous prime is 399081541. The next prime is 399081601. The reversal of 399081600 is 6180993.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×399081600² = 318532246917120000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (399081601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2678326 + ... + 2678474.

It is an arithmetic number, because the mean of its divisors is an integer number (3952500).

Almost surely, 2^399081600 is an apocalyptic number.

399081600 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 399081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758880000).

399081600 is an abundant number, since it is smaller than the sum of its proper divisors (1118678400).

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

399081600 is a wasteful number, since it uses less digits than its factorization.

399081600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 399081600 is about 19977.0268058087. The cubic root of 399081600 is about 736.2419651820.

The spelling of 399081600 in words is "three hundred ninety-nine million, eighty-one thousand, six hundred".