45631800 has 144 divisors (see below), whose sum is σ = 155380680. Its totient is φ = 12000000.

The previous prime is 45631777. The next prime is 45631801. The reversal of 45631800 is 813654.

It is a super-2 number, since 2×45631800² = 4164522342480000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45631801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 181675 + ... + 181925.

Almost surely, 2^45631800 is an apocalyptic number.

45631800 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 45631800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77690340).

45631800 is an abundant number, since it is smaller than the sum of its proper divisors (109748880).

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

45631800 is a wasteful number, since it uses less digits than its factorization.

45631800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 45631800 is about 6755.1313828822. The cubic root of 45631800 is about 357.3462262681.

The spelling of 45631800 in words is "forty-five million, six hundred thirty-one thousand, eight hundred".