258383664 has 180 divisors, whose sum is σ = 917921160. Its totient is φ = 67092480.

The previous prime is 258383651. The next prime is 258383669. The reversal of 258383664 is 466383852.

It is a happy number.

258383664 is a `hidden beast` number, since 2 + 583 + 8 + 3 + 6 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (258383669) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 75952 + ... + 79280.

It is an arithmetic number, because the mean of its divisors is an integer number (5099562).

Almost surely, 2^258383664 is an apocalyptic number.

258383664 is a gapful number since it is divisible by the number (24) 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 258383664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458960580).

258383664 is an abundant number, since it is smaller than the sum of its proper divisors (659537496).

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

258383664 is a wasteful number, since it uses less digits than its factorization.

258383664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3368 (or 3352 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 258383664 is about 16074.3169061705. The cubic root of 258383664 is about 636.9250807513.

The spelling of 258383664 in words is "two hundred fifty-eight million, three hundred eighty-three thousand, six hundred sixty-four".