390229440 has 112 divisors (see below), whose sum is σ = 1257677952. Its totient is φ = 102491136.

The previous prime is 390229439. The next prime is 390229447. The reversal of 390229440 is 44922093.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390229447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61287 + ... + 67353.

Almost surely, 2^390229440 is an apocalyptic number.

390229440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390229440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628838976).

390229440 is an abundant number, since it is smaller than the sum of its proper divisors (867448512).

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

390229440 is a wasteful number, since it uses less digits than its factorization.

390229440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6154 (or 6144 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 390229440 is about 19754.2258770117. The cubic root of 390229440 is about 730.7576046677.

The spelling of 390229440 in words is "three hundred ninety million, two hundred twenty-nine thousand, four hundred forty".