18258480 has 160 divisors (see below), whose sum is σ = 64281600. Its totient is φ = 4762368.

The previous prime is 18258479. The next prime is 18258497. The reversal of 18258480 is 8485281.

18258480 = T₆₄₀ + T₆₄₁ + ... + T₇₁₈.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170587 + ... + 170693.

It is an arithmetic number, because the mean of its divisors is an integer number (401760).

Almost surely, 2^18258480 is an apocalyptic number.

18258480 is a gapful number since it is divisible by the number (10) 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 18258480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32140800).

18258480 is an abundant number, since it is smaller than the sum of its proper divisors (46023120).

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

18258480 is a wasteful number, since it uses less digits than its factorization.

18258480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 18258480 is about 4272.9942663196. The cubic root of 18258480 is about 263.3226437292.

The spelling of 18258480 in words is "eighteen million, two hundred fifty-eight thousand, four hundred eighty".