392983920 has 480 divisors, whose sum is σ = 1628467200. Its totient is φ = 86800896.

The previous prime is 392983907. The next prime is 392983933. The reversal of 392983920 is 29389293.

392983920 = T₃₅ + T₃₆ + ... + T₁₃₃₀.

It is an interprime number because it is at equal distance from previous prime (392983907) and next prime (392983933).

It is a super-2 number, since 2×392983920² = 308872722757132800, which contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 4974441 + ... + 4974519.

It is an arithmetic number, because the mean of its divisors is an integer number (3392640).

Almost surely, 2^392983920 is an apocalyptic number.

392983920 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 392983920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814233600).

392983920 is an abundant number, since it is smaller than the sum of its proper divisors (1235483280).

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

392983920 is a wasteful number, since it uses less digits than its factorization.

392983920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 392983920 is about 19823.8220330995. The cubic root of 392983920 is about 732.4729542290.

The spelling of 392983920 in words is "three hundred ninety-two million, nine hundred eighty-three thousand, nine hundred twenty".