393141952 has 56 divisors (see below), whose sum is σ = 896030720. Its totient is φ = 167650560.

The previous prime is 393141943. The next prime is 393141961. The reversal of 393141952 is 259141393.

It is an interprime number because it is at equal distance from previous prime (393141943) and next prime (393141961).

It is a tau number, because it is divible by the number of its divisors (56).

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 7 ways as a sum of consecutive naturals, for example, 92449 + ... + 96607.

Almost surely, 2^393141952 is an apocalyptic number.

393141952 is a gapful number since it is divisible by the number (32) 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 393141952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448015360).

393141952 is an abundant number, since it is smaller than the sum of its proper divisors (502888768).

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

393141952 is a wasteful number, since it uses less digits than its factorization.

393141952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4389 (or 4379 counting only the distinct ones).

The product of its digits is 29160, while the sum is 37.

The square root of 393141952 is about 19827.8075439520. The cubic root of 393141952 is about 732.5711250423.

The spelling of 393141952 in words is "three hundred ninety-three million, one hundred forty-one thousand, nine hundred fifty-two".