258132000 has 288 divisors, whose sum is σ = 985944960. Its totient is φ = 58867200.

The previous prime is 258131999. The next prime is 258132001. The reversal of 258132000 is 231852.

It is an interprime number because it is at equal distance from previous prime (258131999) and next prime (258132001).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (258132001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 587781 + ... + 588219.

It is an arithmetic number, because the mean of its divisors is an integer number (3423420).

Almost surely, 2^258132000 is an apocalyptic number.

258132000 is a gapful number since it is divisible by the number (20) 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 258132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492972480).

258132000 is an abundant number, since it is smaller than the sum of its proper divisors (727812960).

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

258132000 is a wasteful number, since it uses less digits than its factorization.

258132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 258132000 is about 16066.4868592981. The cubic root of 258132000 is about 636.7182266233.

Adding to 258132000 its reverse (231852), we get a palindrome (258363852).

The spelling of 258132000 in words is "two hundred fifty-eight million, one hundred thirty-two thousand".