45785400 has 96 divisors (see below), whose sum is σ = 143227440. Its totient is φ = 12098560.

The previous prime is 45785359. The next prime is 45785423. The reversal of 45785400 is 458754.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81922 + ... + 82478.

Almost surely, 2^45785400 is an apocalyptic number.

45785400 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 45785400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71613720).

45785400 is an abundant number, since it is smaller than the sum of its proper divisors (97442040).

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

45785400 is a wasteful number, since it uses less digits than its factorization.

45785400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 33.

The square root of 45785400 is about 6766.4909665202. The cubic root of 45785400 is about 357.7467284701.

The spelling of 45785400 in words is "forty-five million, seven hundred eighty-five thousand, four hundred".