399608100 has 216 divisors, whose sum is σ = 1332171680. Its totient is φ = 102738240.

The previous prime is 399608089. The next prime is 399608107. The reversal of 399608100 is 1806993.

399608100 is a `hidden beast` number, since 39 + 9 + 608 + 10 + 0 = 666.

It is a super-2 number, since 2×399608100² = 319373267171220000, 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 (399608107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5964267 + ... + 5964333.

Almost surely, 2^399608100 is an apocalyptic number.

399608100 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 399608100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666085840).

399608100 is an abundant number, since it is smaller than the sum of its proper divisors (932563580).

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

399608100 is a wasteful number, since it uses less digits than its factorization.

399608100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 124 counting only the distinct ones).

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

The square root of 399608100 is about 19990.2000990485. The cubic root of 399608100 is about 736.5655924426.

The spelling of 399608100 in words is "three hundred ninety-nine million, six hundred eight thousand, one hundred".