259920900 has 90 divisors (see below), whose sum is σ = 842587130. Its totient is φ = 69310080.

The previous prime is 259920883. The next prime is 259920917. The reversal of 259920900 is 9029952.

It is an interprime number because it is at equal distance from previous prime (259920883) and next prime (259920917).

It can be written as a sum of positive squares in 3 ways, for example, as 2125764 + 257795136 = 1458^2 + 16056^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 7945 + ... + 24144.

Almost surely, 2^259920900 is an apocalyptic number.

259920900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

259920900 is an abundant number, since it is smaller than the sum of its proper divisors (582666230).

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

259920900 is a wasteful number, since it uses less digits than its factorization.

259920900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32115 (or 32099 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 259920900 is about 16122.0625231389. The cubic root of 259920900 is about 638.1856981813.

The spelling of 259920900 in words is "two hundred fifty-nine million, nine hundred twenty thousand, nine hundred".