45785920 has 56 divisors (see below), whose sum is σ = 109728000. Its totient is φ = 18196992.

The previous prime is 45785911. The next prime is 45785923. The reversal of 45785920 is 2958754.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45785923) 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 7 ways as a sum of consecutive naturals, for example, 63321 + ... + 64039.

Almost surely, 2^45785920 is an apocalyptic number.

45785920 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 45785920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54864000).

45785920 is an abundant number, since it is smaller than the sum of its proper divisors (63942080).

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

45785920 is a wasteful number, since it uses less digits than its factorization.

45785920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The square root of 45785920 is about 6766.5293910542. The cubic root of 45785920 is about 357.7480828145.

The spelling of 45785920 in words is "forty-five million, seven hundred eighty-five thousand, nine hundred twenty".