393400465 has 16 divisors (see below), whose sum is σ = 485508672. Its totient is φ = 305792064.

The previous prime is 393400439. The next prime is 393400471. The reversal of 393400465 is 564004393.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 393400465 - 2⁹ = 393399953 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 393400465.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240982 + ... + 242608.

It is an arithmetic number, because the mean of its divisors is an integer number (30344292).

Almost surely, 2^393400465 is an apocalyptic number.

It is an amenable number.

393400465 is a deficient number, since it is larger than the sum of its proper divisors (92108207).

393400465 is a wasteful number, since it uses less digits than its factorization.

393400465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2976.

The product of its (nonzero) digits is 38880, while the sum is 34.

The square root of 393400465 is about 19834.3254233664. The cubic root of 393400465 is about 732.7316588006.

The spelling of 393400465 in words is "three hundred ninety-three million, four hundred thousand, four hundred sixty-five".