392283216 has 160 divisors (see below), whose sum is σ = 1265752320. Its totient is φ = 115416576.

The previous prime is 392283187. The next prime is 392283223. The reversal of 392283216 is 612382293.

It is a super-2 number, since 2×392283216² = 307772243110605312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127650 + ... + 130686.

It is an arithmetic number, because the mean of its divisors is an integer number (7910952).

Almost surely, 2^392283216 is an apocalyptic number.

392283216 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 392283216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632876160).

392283216 is an abundant number, since it is smaller than the sum of its proper divisors (873469104).

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

392283216 is a wasteful number, since it uses less digits than its factorization.

392283216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3090 (or 3078 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 392283216 is about 19806.1408659032. The cubic root of 392283216 is about 732.0373536434.

The spelling of 392283216 in words is "three hundred ninety-two million, two hundred eighty-three thousand, two hundred sixteen".