393404544 has 192 divisors, whose sum is σ = 1235434200. Its totient is φ = 119439360.

The previous prime is 393404537. The next prime is 393404563. The reversal of 393404544 is 445404393.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 345960000 + 47444544 = 18600^2 + 6888^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 393404499 and 393404508.

It is a congruent number.

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, 1632264 + ... + 1632504.

Almost surely, 2^393404544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 393404544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617717100).

393404544 is an abundant number, since it is smaller than the sum of its proper divisors (842029656).

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

393404544 is a wasteful number, since it uses less digits than its factorization.

393404544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 393404544 is about 19834.4282498891. The cubic root of 393404544 is about 732.7341912515.

The spelling of 393404544 in words is "three hundred ninety-three million, four hundred four thousand, five hundred forty-four".