390420000 has 300 divisors, whose sum is σ = 1440762246. Its totient is φ = 103680000.

The previous prime is 390419993. The next prime is 390420001. The reversal of 390420000 is 24093.

It can be written as a sum of positive squares in 5 ways, for example, as 22240656 + 368179344 = 4716^2 + 19188^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (390420001) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 1619880 + ... + 1620120.

Almost surely, 2^390420000 is an apocalyptic number.

390420000 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 390420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720381123).

390420000 is an abundant number, since it is smaller than the sum of its proper divisors (1050342246).

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

390420000 is an equidigital number, since it uses as much as digits as its factorization.

390420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 390420000 is about 19759.0485600901. The cubic root of 390420000 is about 730.8765351343.

Adding to 390420000 its reverse (24093), we get a palindrome (390444093).

The spelling of 390420000 in words is "three hundred ninety million, four hundred twenty thousand".