259954820 has 48 divisors (see below), whose sum is σ = 581188608. Its totient is φ = 97328640.

The previous prime is 259954819. The next prime is 259954843. The reversal of 259954820 is 28459952.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62939 + ... + 66941.

It is an arithmetic number, because the mean of its divisors is an integer number (12108096).

Almost surely, 2^259954820 is an apocalyptic number.

259954820 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 259954820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290594304).

259954820 is an abundant number, since it is smaller than the sum of its proper divisors (321233788).

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

259954820 is a wasteful number, since it uses less digits than its factorization.

259954820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4220 (or 4218 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 44.

The square root of 259954820 is about 16123.1144634032. The cubic root of 259954820 is about 638.2134583157.

The spelling of 259954820 in words is "two hundred fifty-nine million, nine hundred fifty-four thousand, eight hundred twenty".