45423756 has 144 divisors (see below), whose sum is σ = 141523200. Its totient is φ = 11995776.

The previous prime is 45423743. The next prime is 45423767. The reversal of 45423756 is 65732454.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 45423756.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 253675 + ... + 253853.

It is an arithmetic number, because the mean of its divisors is an integer number (982800).

Almost surely, 2^45423756 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45423756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70761600).

45423756 is an abundant number, since it is smaller than the sum of its proper divisors (96099444).

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

45423756 is a wasteful number, since it uses less digits than its factorization.

45423756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 263 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 45423756 is about 6739.7148307625. The cubic root of 45423756 is about 356.8023291924.

It can be divided in two parts, 45 and 423756, that added together give a square (423801 = 651²).

The spelling of 45423756 in words is "forty-five million, four hundred twenty-three thousand, seven hundred fifty-six".