258251840 has 224 divisors, whose sum is σ = 786530304. Its totient is φ = 78428160.

The previous prime is 258251837. The next prime is 258251863. The reversal of 258251840 is 48152852.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 258251840.

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, 1157969 + ... + 1158191.

It is an arithmetic number, because the mean of its divisors is an integer number (3511296).

Almost surely, 2^258251840 is an apocalyptic number.

258251840 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 258251840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393265152).

258251840 is an abundant number, since it is smaller than the sum of its proper divisors (528278464).

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

258251840 is a wasteful number, since it uses less digits than its factorization.

258251840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 35.

The square root of 258251840 is about 16070.2159288542. The cubic root of 258251840 is about 636.8167453489.

The spelling of 258251840 in words is "two hundred fifty-eight million, two hundred fifty-one thousand, eight hundred forty".