45843600 has 240 divisors, whose sum is σ = 168274944. Its totient is φ = 10560000.

The previous prime is 45843563. The next prime is 45843601. The reversal of 45843600 is 634854.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (45843601) 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 47 ways as a sum of consecutive naturals, for example, 303525 + ... + 303675.

Almost surely, 2^45843600 is an apocalyptic number.

45843600 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 45843600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84137472).

45843600 is an abundant number, since it is smaller than the sum of its proper divisors (122431344).

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

45843600 is a wasteful number, since it uses less digits than its factorization.

45843600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 45843600 is about 6770.7902049908. The cubic root of 45843600 is about 357.8982472490.

The spelling of 45843600 in words is "forty-five million, eight hundred forty-three thousand, six hundred".