258645660 has 192 divisors, whose sum is σ = 900759552. Its totient is φ = 53996544.

The previous prime is 258645641. The next prime is 258645683. The reversal of 258645660 is 66546852.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 693234 + ... + 693606.

It is an arithmetic number, because the mean of its divisors is an integer number (4691456).

Almost surely, 2^258645660 is an apocalyptic number.

258645660 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 258645660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450379776).

258645660 is an abundant number, since it is smaller than the sum of its proper divisors (642113892).

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

258645660 is a wasteful number, since it uses less digits than its factorization.

258645660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The square root of 258645660 is about 16082.4643633990. The cubic root of 258645660 is about 637.1402845701.

The spelling of 258645660 in words is "two hundred fifty-eight million, six hundred forty-five thousand, six hundred sixty".