392421744 has 480 divisors, whose sum is σ = 1462406400. Its totient is φ = 96215040.

The previous prime is 392421721. The next prime is 392421769. The reversal of 392421744 is 447124293.

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

It is a junction number, because it is equal to n+sod(n) for n = 392421699 and 392421708.

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, 6651187 + ... + 6651245.

It is an arithmetic number, because the mean of its divisors is an integer number (3046680).

Almost surely, 2^392421744 is an apocalyptic number.

392421744 is a gapful number since it is divisible by the number (34) 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 392421744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731203200).

392421744 is an abundant number, since it is smaller than the sum of its proper divisors (1069984656).

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

392421744 is a wasteful number, since it uses less digits than its factorization.

392421744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 124 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 392421744 is about 19809.6376544348. The cubic root of 392421744 is about 732.1235122587.

The spelling of 392421744 in words is "three hundred ninety-two million, four hundred twenty-one thousand, seven hundred forty-four".