393251616 has 144 divisors (see below), whose sum is σ = 1222760448. Its totient is φ = 119347200.

The previous prime is 393251603. The next prime is 393251669. The reversal of 393251616 is 616152393.

393251616 is a `hidden beast` number, since 3 + 9 + 32 + 5 + 1 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×393251616² = 309293666973222912, which contains 22 as substring.

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

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, 150481 + ... + 153071.

It is an arithmetic number, because the mean of its divisors is an integer number (8491392).

Almost surely, 2^393251616 is an apocalyptic number.

393251616 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 393251616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611380224).

393251616 is an abundant number, since it is smaller than the sum of its proper divisors (829508832).

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

393251616 is a wasteful number, since it uses less digits than its factorization.

393251616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2655 (or 2644 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 393251616 is about 19830.5727602609. The cubic root of 393251616 is about 732.6392337843.

The spelling of 393251616 in words is "three hundred ninety-three million, two hundred fifty-one thousand, six hundred sixteen".