393072870 has 64 divisors (see below), whose sum is σ = 980158464. Its totient is φ = 100776960.

The previous prime is 393072859. The next prime is 393072881. The reversal of 393072870 is 78270393.

It is an interprime number because it is at equal distance from previous prime (393072859) and next prime (393072881).

It is a super-2 number, since 2×393072870² = 309012562260073800, which contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 150294 + ... + 152886.

It is an arithmetic number, because the mean of its divisors is an integer number (15314976).

Almost surely, 2^393072870 is an apocalyptic number.

393072870 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 393072870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490079232).

393072870 is an abundant number, since it is smaller than the sum of its proper divisors (587085594).

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

393072870 is a wasteful number, since it uses less digits than its factorization.

393072870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2797.

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 393072870 is about 19826.0654190386. The cubic root of 393072870 is about 732.5282139575.

The spelling of 393072870 in words is "three hundred ninety-three million, seventy-two thousand, eight hundred seventy".