390845760 has 224 divisors, whose sum is σ = 1305763200. Its totient is φ = 98918400.

The previous prime is 390845753. The next prime is 390845761. The reversal of 390845760 is 67548093.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390845761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2811771 + ... + 2811909.

It is an arithmetic number, because the mean of its divisors is an integer number (5829300).

Almost surely, 2^390845760 is an apocalyptic number.

390845760 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 390845760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652881600).

390845760 is an abundant number, since it is smaller than the sum of its proper divisors (914917440).

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

390845760 is a wasteful number, since it uses less digits than its factorization.

390845760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 390845760 is about 19769.8194225441. The cubic root of 390845760 is about 731.1421165996.

It can be divided in two parts, 39084 and 5760, that added together give a palindrome (44844).

The spelling of 390845760 in words is "three hundred ninety million, eight hundred forty-five thousand, seven hundred sixty".