45509850 has 120 divisors (see below), whose sum is σ = 134090748. Its totient is φ = 11404800.

The previous prime is 45509803. The next prime is 45509869. The reversal of 45509850 is 5890554.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 30041361 + 15468489 = 5481^2 + 3933^2 .

It is a super-2 number, since 2×45509850² = 4142292894045000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 68520 + ... + 69180.

Almost surely, 2^45509850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45509850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67045374).

45509850 is an abundant number, since it is smaller than the sum of its proper divisors (88580898).

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

45509850 is a wasteful number, since it uses less digits than its factorization.

45509850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 45509850 is about 6746.0988726819. The cubic root of 45509850 is about 357.0276089092.

It can be divided in two parts, 4550 and 9850, that added together give a square (14400 = 120²).

The spelling of 45509850 in words is "forty-five million, five hundred nine thousand, eight hundred fifty".