258263040 has 192 divisors, whose sum is σ = 945060480. Its totient is φ = 58982400.

The previous prime is 258263023. The next prime is 258263051. The reversal of 258263040 is 40362852.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 258262989 and 258263007.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214440 + ... + 215640.

It is an arithmetic number, because the mean of its divisors is an integer number (4922190).

Almost surely, 2^258263040 is an apocalyptic number.

258263040 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 258263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472530240).

258263040 is an abundant number, since it is smaller than the sum of its proper divisors (686797440).

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

258263040 is a wasteful number, since it uses less digits than its factorization.

258263040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 258263040 is about 16070.5643958139. The cubic root of 258263040 is about 636.8259511490.

The spelling of 258263040 in words is "two hundred fifty-eight million, two hundred sixty-three thousand, forty".