393968400 has 120 divisors (see below), whose sum is σ = 1442330304. Its totient is φ = 90048000.

The previous prime is 393968389. The next prime is 393968417. The reversal of 393968400 is 4869393.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×393968400² = 310422200397120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15051 + ... + 31850.

Almost surely, 2^393968400 is an apocalyptic number.

393968400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

393968400 is an abundant number, since it is smaller than the sum of its proper divisors (1048361904).

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

393968400 is a wasteful number, since it uses less digits than its factorization.

393968400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46929 (or 46918 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 393968400 is about 19848.6372328178. The cubic root of 393968400 is about 733.0840934449.

The spelling of 393968400 in words is "three hundred ninety-three million, nine hundred sixty-eight thousand, four hundred".