390224142 has 240 divisors, whose sum is σ = 1147109040. Its totient is φ = 97977600.

The previous prime is 390224083. The next prime is 390224167. The reversal of 390224142 is 241422093.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 119 ways as a sum of consecutive naturals, for example, 3579984 + ... + 3580092.

It is an arithmetic number, because the mean of its divisors is an integer number (4779621).

Almost surely, 2^390224142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390224142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573554520).

390224142 is an abundant number, since it is smaller than the sum of its proper divisors (756884898).

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

390224142 is a wasteful number, since it uses less digits than its factorization.

390224142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 390224142 is about 19754.0917786670. The cubic root of 390224142 is about 730.7542975779.

The spelling of 390224142 in words is "three hundred ninety million, two hundred twenty-four thousand, one hundred forty-two".