259417920 has 224 divisors, whose sum is σ = 889528320. Its totient is φ = 63866880.

The previous prime is 259417913. The next prime is 259417981. The reversal of 259417920 is 29714952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 684291 + ... + 684669.

Almost surely, 2^259417920 is an apocalyptic number.

259417920 is a gapful number since it is divisible by the number (20) 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 259417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444764160).

259417920 is an abundant number, since it is smaller than the sum of its proper divisors (630110400).

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

259417920 is a wasteful number, since it uses less digits than its factorization.

259417920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 259417920 is about 16106.4558485099. The cubic root of 259417920 is about 637.7737755278.

The spelling of 259417920 in words is "two hundred fifty-nine million, four hundred seventeen thousand, nine hundred twenty".