390450090 has 16 divisors (see below), whose sum is σ = 937080288. Its totient is φ = 104120016.

The previous prime is 390450089. The next prime is 390450107. The reversal of 390450090 is 90054093.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 13015003 = 390450090 / (3 + 9 + 0 + 4 + 5 + 0 + 0 + 9 + 0).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6507472 + ... + 6507531.

It is an arithmetic number, because the mean of its divisors is an integer number (58567518).

Almost surely, 2^390450090 is an apocalyptic number.

390450090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

390450090 is an abundant number, since it is smaller than the sum of its proper divisors (546630198).

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

390450090 is a wasteful number, since it uses less digits than its factorization.

390450090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13015013.

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 390450090 is about 19759.8099687219. The cubic root of 390450090 is about 730.8953110765.

The spelling of 390450090 in words is "three hundred ninety million, four hundred fifty thousand, ninety".