258956082 has 256 divisors, whose sum is σ = 774144000. Its totient is φ = 63504000.

The previous prime is 258956069. The next prime is 258956107. The reversal of 258956082 is 280659852.

258956082 is a `hidden beast` number, since 2 + 5 + 8 + 9 + 560 + 82 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6315982 + ... + 6316022.

It is an arithmetic number, because the mean of its divisors is an integer number (3024000).

Almost surely, 2^258956082 is an apocalyptic number.

258956082 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 258956082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387072000).

258956082 is an abundant number, since it is smaller than the sum of its proper divisors (515187918).

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

258956082 is a wasteful number, since it uses less digits than its factorization.

258956082 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 258956082 is about 16092.1124157147. The cubic root of 258956082 is about 637.3950775421.

The spelling of 258956082 in words is "two hundred fifty-eight million, nine hundred fifty-six thousand, eighty-two".