390253248 has 336 divisors, whose sum is σ = 1459382400. Its totient is φ = 101122560.

The previous prime is 390253243. The next prime is 390253249. The reversal of 390253248 is 842352093.

390253248 is a `hidden beast` number, since 390 + 25 + 3 + 248 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (390253243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 931183 + ... + 931601.

It is an arithmetic number, because the mean of its divisors is an integer number (4343400).

Almost surely, 2^390253248 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 390253248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729691200).

390253248 is an abundant number, since it is smaller than the sum of its proper divisors (1069129152).

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

390253248 is a wasteful number, since it uses less digits than its factorization.

390253248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 390253248 is about 19754.8284730594. The cubic root of 390253248 is about 730.7724656028.

The spelling of 390253248 in words is "three hundred ninety million, two hundred fifty-three thousand, two hundred forty-eight".