45588450 has 48 divisors (see below), whose sum is σ = 113537376. Its totient is φ = 12105600.

The previous prime is 45588443. The next prime is 45588463. The reversal of 45588450 is 5488554.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 45588399 and 45588408.

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 23 ways as a sum of consecutive naturals, for example, 46465 + ... + 47435.

It is an arithmetic number, because the mean of its divisors is an integer number (2365362).

Almost surely, 2^45588450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45588450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56768688).

45588450 is an abundant number, since it is smaller than the sum of its proper divisors (67948926).

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

45588450 is a wasteful number, since it uses less digits than its factorization.

45588450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 39.

The square root of 45588450 is about 6751.9219486010. The cubic root of 45588450 is about 357.2330313254.

The spelling of 45588450 in words is "forty-five million, five hundred eighty-eight thousand, four hundred fifty".