1590450240 has 56 divisors (see below), whose sum is σ = 5049682560. Its totient is φ = 424119808.

The previous prime is 1590450227. The next prime is 1590450241. The reversal of 1590450240 is 420540951.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1590450198 and 1590450207.

It is not an unprimeable number, because it can be changed into a prime (1590450241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 827400 + ... + 829319.

Almost surely, 2^1590450240 is an apocalyptic number.

1590450240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1590450240 is an abundant number, since it is smaller than the sum of its proper divisors (3459232320).

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

1590450240 is a wasteful number, since it uses less digits than its factorization.

1590450240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656739 (or 1656729 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 1590450240 is about 39880.4493455126. The cubic root of 1590450240 is about 1167.2754779807.

The spelling of 1590450240 in words is "one billion, five hundred ninety million, four hundred fifty thousand, two hundred forty".