258185340 has 192 divisors, whose sum is σ = 925747200. Its totient is φ = 58516992.

The previous prime is 258185339. The next prime is 258185353. The reversal of 258185340 is 43581852.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 258185295 and 258185304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 631056 + ... + 631464.

It is an arithmetic number, because the mean of its divisors is an integer number (4821600).

Almost surely, 2^258185340 is an apocalyptic number.

258185340 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 258185340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462873600).

258185340 is an abundant number, since it is smaller than the sum of its proper divisors (667561860).

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

258185340 is a wasteful number, since it uses less digits than its factorization.

258185340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 258185340 is about 16068.1467506368. The cubic root of 258185340 is about 636.7620804283.

The spelling of 258185340 in words is "two hundred fifty-eight million, one hundred eighty-five thousand, three hundred forty".