393642720 has 96 divisors (see below), whose sum is σ = 1377764640. Its totient is φ = 104970240.

The previous prime is 393642647. The next prime is 393642721. The reversal of 393642720 is 27246393.

It is a happy number.

393642720 is a `hidden beast` number, since 3 + 9 + 3 + 642 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393642721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41241 + ... + 49880.

It is an arithmetic number, because the mean of its divisors is an integer number (14351715).

Almost surely, 2^393642720 is an apocalyptic number.

393642720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

393642720 is an abundant number, since it is smaller than the sum of its proper divisors (984121920).

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

393642720 is a wasteful number, since it uses less digits than its factorization.

393642720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91145 (or 91131 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 393642720 is about 19840.4314469217. The cubic root of 393642720 is about 732.8820326986.

It can be divided in two parts, 3936 and 42720, that added together give a 6-th power (46656 = 6⁶).

The spelling of 393642720 in words is "three hundred ninety-three million, six hundred forty-two thousand, seven hundred twenty".