390199248 has 80 divisors (see below), whose sum is σ = 1126118400. Its totient is φ = 129358080.

The previous prime is 390199241. The next prime is 390199253. The reversal of 390199248 is 842991093.

390199248 is a `hidden beast` number, since 390 + 19 + 9 + 248 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390199241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80148 + ... + 84876.

It is an arithmetic number, because the mean of its divisors is an integer number (14076480).

Almost surely, 2^390199248 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 390199248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563059200).

390199248 is an abundant number, since it is smaller than the sum of its proper divisors (735919152).

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

390199248 is a wasteful number, since it uses less digits than its factorization.

390199248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4937 (or 4925 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 390199248 is about 19753.4616713122. The cubic root of 390199248 is about 730.7387579753.

The spelling of 390199248 in words is "three hundred ninety million, one hundred ninety-nine thousand, two hundred forty-eight".