45961944 has 64 divisors (see below), whose sum is σ = 133574400. Its totient is φ = 12906624.

The previous prime is 45961939. The next prime is 45961961. The reversal of 45961944 is 44916954.

It is a super-2 number, since 2×45961944² = 4225000592518272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 45961896 and 45961905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7594 + ... + 12230.

It is an arithmetic number, because the mean of its divisors is an integer number (2087100).

Almost surely, 2^45961944 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 45961944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66787200).

45961944 is an abundant number, since it is smaller than the sum of its proper divisors (87612456).

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

45961944 is a wasteful number, since it uses less digits than its factorization.

45961944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4712 (or 4708 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 45961944 is about 6779.5238770875. The cubic root of 45961944 is about 358.2059508046.

The spelling of 45961944 in words is "forty-five million, nine hundred sixty-one thousand, nine hundred forty-four".