390145300 has 18 divisors (see below), whose sum is σ = 846615518. Its totient is φ = 156058080.

The previous prime is 390145267. The next prime is 390145307. The reversal of 390145300 is 3541093.

It can be written as a sum of positive squares in 3 ways, for example, as 3944196 + 386201104 = 1986^2 + 19652^2 .

It is a super-2 number, since 2×390145300² = 304426710224180000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390145307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1950627 + ... + 1950826.

Almost surely, 2^390145300 is an apocalyptic number.

It is an amenable number.

390145300 is an abundant number, since it is smaller than the sum of its proper divisors (456470218).

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

390145300 is a wasteful number, since it uses less digits than its factorization.

390145300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3901467 (or 3901460 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 390145300 is about 19752.0960913013. The cubic root of 390145300 is about 730.7050797014.

Adding to 390145300 its reverse (3541093), we get a palindrome (393686393).

The spelling of 390145300 in words is "three hundred ninety million, one hundred forty-five thousand, three hundred".