258096540 has 96 divisors (see below), whose sum is σ = 782058816. Its totient is φ = 63221760.

The previous prime is 258096479. The next prime is 258096563. The reversal of 258096540 is 45690852.

It is a super-2 number, since 2×258096540² = 133227647919943200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 187294 + ... + 188666.

It is an arithmetic number, because the mean of its divisors is an integer number (8146446).

Almost surely, 2^258096540 is an apocalyptic number.

258096540 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 258096540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391029408).

258096540 is an abundant number, since it is smaller than the sum of its proper divisors (523962276).

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

258096540 is a wasteful number, since it uses less digits than its factorization.

258096540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 258096540 is about 16065.3832820758. The cubic root of 258096540 is about 636.6890696258.

The spelling of 258096540 in words is "two hundred fifty-eight million, ninety-six thousand, five hundred forty".