390750144 has 56 divisors (see below), whose sum is σ = 1044567888. Its totient is φ = 128901120.

The previous prime is 390750127. The next prime is 390750149. The reversal of 390750144 is 441057093.

It is a super-3 number, since 3×390750144³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390750149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8134 + ... + 29114.

It is an arithmetic number, because the mean of its divisors is an integer number (18652998).

Almost surely, 2^390750144 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 390750144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522283944).

390750144 is an abundant number, since it is smaller than the sum of its proper divisors (653817744).

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

390750144 is a wasteful number, since it uses less digits than its factorization.

390750144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21093 (or 21083 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 390750144 is about 19767.4010431316. The cubic root of 390750144 is about 731.0824898505.

The spelling of 390750144 in words is "three hundred ninety million, seven hundred fifty thousand, one hundred forty-four".