393375240 has 288 divisors, whose sum is σ = 1436760000. Its totient is φ = 93063168.

The previous prime is 393375239. The next prime is 393375253. The reversal of 393375240 is 42573393.

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 = 393375195 and 393375204.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1976661 + ... + 1976859.

It is an arithmetic number, because the mean of its divisors is an integer number (4988750).

Almost surely, 2^393375240 is an apocalyptic number.

393375240 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 393375240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718380000).

393375240 is an abundant number, since it is smaller than the sum of its proper divisors (1043384760).

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

393375240 is a wasteful number, since it uses less digits than its factorization.

393375240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The square root of 393375240 is about 19833.6895206111. The cubic root of 393375240 is about 732.7159974472.

The spelling of 393375240 in words is "three hundred ninety-three million, three hundred seventy-five thousand, two hundred forty".