258774516 has 288 divisors, whose sum is σ = 904071168. Its totient is φ = 60238080.

The previous prime is 258774499. The next prime is 258774517. The reversal of 258774516 is 615477852.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258774517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1549465 + ... + 1549631.

It is an arithmetic number, because the mean of its divisors is an integer number (3139136).

Almost surely, 2^258774516 is an apocalyptic number.

258774516 is a gapful number since it is divisible by the number (26) 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 258774516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452035584).

258774516 is an abundant number, since it is smaller than the sum of its proper divisors (645296652).

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

258774516 is a wasteful number, since it uses less digits than its factorization.

258774516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 246 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The square root of 258774516 is about 16086.4699670251. The cubic root of 258774516 is about 637.2460737264.

The spelling of 258774516 in words is "two hundred fifty-eight million, seven hundred seventy-four thousand, five hundred sixteen".