393412140 has 252 divisors, whose sum is σ = 1367631552. Its totient is φ = 94944960.

The previous prime is 393412133. The next prime is 393412183. The reversal of 393412140 is 41214393.

It is a super-2 number, since 2×393412140² = 309546223798759200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1764069 + ... + 1764291.

Almost surely, 2^393412140 is an apocalyptic number.

393412140 is a gapful number since it is divisible by the number (30) 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 393412140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683815776).

393412140 is an abundant number, since it is smaller than the sum of its proper divisors (974219412).

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

393412140 is a wasteful number, since it uses less digits than its factorization.

393412140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 393412140 is about 19834.6197341920. The cubic root of 393412140 is about 732.7389071885.

The spelling of 393412140 in words is "three hundred ninety-three million, four hundred twelve thousand, one hundred forty".