390544 has 40 divisors (see below), whose sum is σ = 946368. Its totient is φ = 151680.

The previous prime is 390539. The next prime is 390553. The reversal of 390544 is 445093.

390544 = T₂₁ + T₂₂ + ... + T₁₃₂.

It is a congruent number.

It is an unprimeable number.

390544 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1074 + ... + 1390.

390544 is a Friedman number, since it can be written as 5^(9-4^0)-3^4, using all its digits and the basic arithmetic operations.

2³⁹⁰⁵⁴⁴ 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 390544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473184).

390544 is an abundant number, since it is smaller than the sum of its proper divisors (555824).

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

390544 is a wasteful number, since it uses less digits than its factorization.

390544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 390544 is about 624.9351966404. The cubic root of 390544 is about 73.0953904034.

The spelling of 390544 in words is "three hundred ninety thousand, five hundred forty-four".