393695640 has 240 divisors, whose sum is σ = 1434866400. Its totient is φ = 96774912.

The previous prime is 393695633. The next prime is 393695663. The reversal of 393695640 is 46596393.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 547201 + ... + 547919.

It is an arithmetic number, because the mean of its divisors is an integer number (5978610).

Almost surely, 2^393695640 is an apocalyptic number.

393695640 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 393695640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717433200).

393695640 is an abundant number, since it is smaller than the sum of its proper divisors (1041170760).

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

393695640 is a wasteful number, since it uses less digits than its factorization.

393695640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The square root of 393695640 is about 19841.7650424553. The cubic root of 393695640 is about 732.9148732901.

The spelling of 393695640 in words is "three hundred ninety-three million, six hundred ninety-five thousand, six hundred forty".