393872976 has 240 divisors, whose sum is σ = 1374019200. Its totient is φ = 107509248.

The previous prime is 393872957. The next prime is 393872977. The reversal of 393872976 is 679278393.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393872977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 486460 + ... + 487268.

It is an arithmetic number, because the mean of its divisors is an integer number (5725080).

Almost surely, 2^393872976 is an apocalyptic number.

393872976 is a gapful number since it is divisible by the number (36) 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 393872976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687009600).

393872976 is an abundant number, since it is smaller than the sum of its proper divisors (980146224).

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

393872976 is a wasteful number, since it uses less digits than its factorization.

393872976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 844 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 54.

The square root of 393872976 is about 19846.2332950109. The cubic root of 393872976 is about 733.0249013327.

The spelling of 393872976 in words is "three hundred ninety-three million, eight hundred seventy-two thousand, nine hundred seventy-six".