258856416 has 432 divisors, whose sum is σ = 988185744. Its totient is φ = 63479808.

The previous prime is 258856397. The next prime is 258856427. The reversal of 258856416 is 614658852.

258856416 is a `hidden beast` number, since 2 + 5 + 88 + 564 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 3118711 + ... + 3118793.

It is an arithmetic number, because the mean of its divisors is an integer number (2287467).

Almost surely, 2^258856416 is an apocalyptic number.

258856416 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 258856416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494092872).

258856416 is an abundant number, since it is smaller than the sum of its proper divisors (729329328).

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

258856416 is a wasteful number, since it uses less digits than its factorization.

258856416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 125 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 258856416 is about 16089.0153831737. The cubic root of 258856416 is about 637.3132943442.

The spelling of 258856416 in words is "two hundred fifty-eight million, eight hundred fifty-six thousand, four hundred sixteen".