392348880 has 480 divisors, whose sum is σ = 1720068480. Its totient is φ = 81285120.

The previous prime is 392348867. The next prime is 392348909. The reversal of 392348880 is 88843293.

392348880 is a `hidden beast` number, since 3 + 92 + 3 + 488 + 80 = 666.

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

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1164072 + ... + 1164408.

It is an arithmetic number, because the mean of its divisors is an integer number (3583476).

Almost surely, 2^392348880 is an apocalyptic number.

392348880 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 392348880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860034240).

392348880 is an abundant number, since it is smaller than the sum of its proper divisors (1327719600).

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

392348880 is a wasteful number, since it uses less digits than its factorization.

392348880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 392348880 is about 19807.7984642413. The cubic root of 392348880 is about 732.0781964300.

The spelling of 392348880 in words is "three hundred ninety-two million, three hundred forty-eight thousand, eight hundred eighty".