258738480 has 480 divisors, whose sum is σ = 1169925120. Its totient is φ = 49489920.

The previous prime is 258738451. The next prime is 258738503. The reversal of 258738480 is 84837852.

258738480 = 2828² + 2829² + ... + 2859².

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 720541 + ... + 720899.

It is an arithmetic number, because the mean of its divisors is an integer number (2437344).

Almost surely, 2^258738480 is an apocalyptic number.

258738480 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 258738480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584962560).

258738480 is an abundant number, since it is smaller than the sum of its proper divisors (911186640).

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

258738480 is a wasteful number, since it uses less digits than its factorization.

258738480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 258738480 is about 16085.3498563134. The cubic root of 258738480 is about 637.2164921614.

The spelling of 258738480 in words is "two hundred fifty-eight million, seven hundred thirty-eight thousand, four hundred eighty".