390804480000 has 1120 divisors, whose sum is σ = 1584548032320. Its totient is φ = 94371840000.

The previous prime is 390804479993. The next prime is 390804480007. The reversal of 390804480000 is 84408093.

It is an interprime number because it is at equal distance from previous prime (390804479993) and next prime (390804480007).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (390804480007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1520639872 + ... + 1520640128.

Almost surely, 2^390804480000 is an apocalyptic number.

390804480000 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 390804480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792274016160).

390804480000 is an abundant number, since it is smaller than the sum of its proper divisors (1193743552320).

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

390804480000 is an equidigital number, since it uses as much as digits as its factorization.

390804480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 390804480000 its reverse (84408093), we get a palindrome (390888888093).

The spelling of 390804480000 in words is "three hundred ninety billion, eight hundred four million, four hundred eighty thousand".