399983616 has 352 divisors, whose sum is σ = 1344142080. Its totient is φ = 116785152.

The previous prime is 399983609. The next prime is 399983621. The reversal of 399983616 is 616389993.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10810350 + ... + 10810386.

Almost surely, 2^399983616 is an apocalyptic number.

399983616 is a gapful number since it is divisible by the number (36) 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 399983616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672071040).

399983616 is an abundant number, since it is smaller than the sum of its proper divisors (944158464).

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

399983616 is a wasteful number, since it uses less digits than its factorization.

399983616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 82 counting only the distinct ones).

The product of its digits is 1889568, while the sum is 54.

The square root of 399983616 is about 19999.5903958056. The cubic root of 399983616 is about 736.7962397287.

The spelling of 399983616 in words is "three hundred ninety-nine million, nine hundred eighty-three thousand, six hundred sixteen".