259297920 has 384 divisors, whose sum is σ = 1050192000. Its totient is φ = 57729024.

The previous prime is 259297897. The next prime is 259297931. The reversal of 259297920 is 29792952.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×259297920² = 134470822632652800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2378826 + ... + 2378934.

It is an arithmetic number, because the mean of its divisors is an integer number (2734875).

Almost surely, 2^259297920 is an apocalyptic number.

259297920 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 259297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525096000).

259297920 is an abundant number, since it is smaller than the sum of its proper divisors (790894080).

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

259297920 is a wasteful number, since it uses less digits than its factorization.

259297920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 259297920 is about 16102.7302032916. The cubic root of 259297920 is about 637.6754211597.

The spelling of 259297920 in words is "two hundred fifty-nine million, two hundred ninety-seven thousand, nine hundred twenty".