45461624 has 64 divisors (see below), whose sum is σ = 96768000. Its totient is φ = 19877760.

The previous prime is 45461617. The next prime is 45461627. The reversal of 45461624 is 42616454.

45461624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45461627) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 190097 + ... + 190335.

It is an arithmetic number, because the mean of its divisors is an integer number (1512000).

Almost surely, 2^45461624 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 45461624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48384000).

45461624 is an abundant number, since it is smaller than the sum of its proper divisors (51306376).

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

45461624 is a wasteful number, since it uses less digits than its factorization.

45461624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 344 counting only the distinct ones).

The product of its digits is 23040, while the sum is 32.

The square root of 45461624 is about 6742.5235631772. The cubic root of 45461624 is about 356.9014523451.

The spelling of 45461624 in words is "forty-five million, four hundred sixty-one thousand, six hundred twenty-four".