258823488 has 336 divisors, whose sum is σ = 904817088. Its totient is φ = 64512000.

The previous prime is 258823469. The next prime is 258823517. The reversal of 258823488 is 884328852.

258823488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×258823488² = 133979195880972288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4242978 + ... + 4243038.

It is an arithmetic number, because the mean of its divisors is an integer number (2692908).

Almost surely, 2^258823488 is an apocalyptic number.

258823488 is a gapful number since it is divisible by the number (28) 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 258823488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452408544).

258823488 is an abundant number, since it is smaller than the sum of its proper divisors (645993600).

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

258823488 is a wasteful number, since it uses less digits than its factorization.

258823488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 125 counting only the distinct ones).

The product of its digits is 983040, while the sum is 48.

The square root of 258823488 is about 16087.9920437574. The cubic root of 258823488 is about 637.2862699132.

The spelling of 258823488 in words is "two hundred fifty-eight million, eight hundred twenty-three thousand, four hundred eighty-eight".