390427848 has 144 divisors (see below), whose sum is σ = 1155625380. Its totient is φ = 118665216.

The previous prime is 390427847. The next prime is 390427853. The reversal of 390427848 is 848724093.

It can be written as a sum of positive squares in 6 ways, for example, as 346629924 + 43797924 = 18618^2 + 6618^2 .

It is a super-2 number, since 2×390427848² = 304867808987822208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (390427847) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1675540 + ... + 1675772.

Almost surely, 2^390427848 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 390427848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577812690).

390427848 is an abundant number, since it is smaller than the sum of its proper divisors (765197532).

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

390427848 is a wasteful number, since it uses less digits than its factorization.

390427848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 390427848 is about 19759.2471516503. The cubic root of 390427848 is about 730.8814323225.

The spelling of 390427848 in words is "three hundred ninety million, four hundred twenty-seven thousand, eight hundred forty-eight".