258482414400 has 1344 divisors, whose sum is σ = 1084631531520. Its totient is φ = 52553318400.

The previous prime is 258482414383. The next prime is 258482414459. The reversal of 258482414400 is 4414284852.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 732244624 + ... + 732244976.

Almost surely, 2^258482414400 is an apocalyptic number.

258482414400 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 258482414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542315765760).

258482414400 is an abundant number, since it is smaller than the sum of its proper divisors (826149117120).

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

258482414400 is a wasteful number, since it uses less digits than its factorization.

258482414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 42.

The spelling of 258482414400 in words is "two hundred fifty-eight billion, four hundred eighty-two million, four hundred fourteen thousand, four hundred".