45890800 has 60 divisors (see below), whose sum is σ = 112644576. Its totient is φ = 17958400.

The previous prime is 45890791. The next prime is 45890807. The reversal of 45890800 is 809854.

It is a super-3 number, since 3×45890800³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45890807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17580 + ... + 20020.

Almost surely, 2^45890800 is an apocalyptic number.

45890800 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 45890800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56322288).

45890800 is an abundant number, since it is smaller than the sum of its proper divisors (66753776).

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

45890800 is a wasteful number, since it uses less digits than its factorization.

45890800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2506 (or 2495 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 45890800 is about 6774.2748689435. The cubic root of 45890800 is about 358.0210343123.

The spelling of 45890800 in words is "forty-five million, eight hundred ninety thousand, eight hundred".