390546072 has 144 divisors (see below), whose sum is σ = 1284182640. Its totient is φ = 106710912.

The previous prime is 390546067. The next prime is 390546073. The reversal of 390546072 is 270645093.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390546073) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 78738 + ... + 83550.

It is an arithmetic number, because the mean of its divisors is an integer number (8917935).

Almost surely, 2^390546072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390546072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642091320).

390546072 is an abundant number, since it is smaller than the sum of its proper divisors (893636568).

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

390546072 is a wasteful number, since it uses less digits than its factorization.

390546072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4862 (or 4848 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 390546072 is about 19762.2385371698. The cubic root of 390546072 is about 730.9551967041.

The spelling of 390546072 in words is "three hundred ninety million, five hundred forty-six thousand, seventy-two".