258496416 has 36 divisors (see below), whose sum is σ = 735100002. Its totient is φ = 86165376.

The previous prime is 258496397. The next prime is 258496429. The reversal of 258496416 is 614694852.

258496416 is a `hidden beast` number, since 2 + 584 + 9 + 64 + 1 + 6 = 666.

258496416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 255872016 + 2624400 = 15996^2 + 1620^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 448491 + ... + 449066.

Almost surely, 2^258496416 is an apocalyptic number.

It is an amenable number.

258496416 is an abundant number, since it is smaller than the sum of its proper divisors (476603586).

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

258496416 is a wasteful number, since it uses less digits than its factorization.

258496416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897573 (or 897562 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 258496416 is about 16077.8237333291. The cubic root of 258496416 is about 637.0177131984.

The spelling of 258496416 in words is "two hundred fifty-eight million, four hundred ninety-six thousand, four hundred sixteen".