390049440 has 192 divisors, whose sum is σ = 1384169472. Its totient is φ = 91468800.

The previous prime is 390049427. The next prime is 390049447. The reversal of 390049440 is 44940093.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (390049447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162489 + ... + 164871.

It is an arithmetic number, because the mean of its divisors is an integer number (7209216).

Almost surely, 2^390049440 is an apocalyptic number.

390049440 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 390049440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692084736).

390049440 is an abundant number, since it is smaller than the sum of its proper divisors (994120032).

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

390049440 is a wasteful number, since it uses less digits than its factorization.

390049440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2443 (or 2435 counting only the distinct ones).

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

The square root of 390049440 is about 19749.6693643210. The cubic root of 390049440 is about 730.6452292418.

The spelling of 390049440 in words is "three hundred ninety million, forty-nine thousand, four hundred forty".