45818880 has 176 divisors, whose sum is σ = 155244480. Its totient is φ = 11501568.

The previous prime is 45818873. The next prime is 45818887. The reversal of 45818880 is 8881854.

It is an interprime number because it is at equal distance from previous prime (45818873) and next prime (45818887).

It is not an unprimeable number, because it can be changed into a prime (45818887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 291762 + ... + 291918.

Almost surely, 2^45818880 is an apocalyptic number.

45818880 is a gapful number since it is divisible by the number (40) 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 45818880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77622240).

45818880 is an abundant number, since it is smaller than the sum of its proper divisors (109425600).

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

45818880 is a wasteful number, since it uses less digits than its factorization.

45818880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 42.

The square root of 45818880 is about 6768.9644702864. The cubic root of 45818880 is about 357.8339064950.

The spelling of 45818880 in words is "forty-five million, eight hundred eighteen thousand, eight hundred eighty".