45415944 has 128 divisors (see below), whose sum is σ = 147360000. Its totient is φ = 12954816.

The previous prime is 45415939. The next prime is 45415973. The reversal of 45415944 is 44951454.

45415944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45415944² = 4125215938822272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 45415899 and 45415908.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73782 + ... + 74394.

It is an arithmetic number, because the mean of its divisors is an integer number (1151250).

Almost surely, 2^45415944 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 45415944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73680000).

45415944 is an abundant number, since it is smaller than the sum of its proper divisors (101944056).

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

45415944 is a wasteful number, since it uses less digits than its factorization.

45415944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 625 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 45415944 is about 6739.1352560993. The cubic root of 45415944 is about 356.7818736728.

The spelling of 45415944 in words is "forty-five million, four hundred fifteen thousand, nine hundred forty-four".