45071824 has 40 divisors (see below), whose sum is σ = 100761408. Its totient is φ = 19130880.

The previous prime is 45071821. The next prime is 45071843. The reversal of 45071824 is 42817054.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45071821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10104 + ... + 13864.

Almost surely, 2^45071824 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 45071824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50380704).

45071824 is an abundant number, since it is smaller than the sum of its proper divisors (55689584).

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

45071824 is a wasteful number, since it uses less digits than its factorization.

45071824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3883 (or 3877 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The square root of 45071824 is about 6713.5552429395. Note that the first 3 decimals coincide. The cubic root of 45071824 is about 355.8784671211.

Adding to 45071824 its reverse (42817054), we get a palindrome (87888878).

The spelling of 45071824 in words is "forty-five million, seventy-one thousand, eight hundred twenty-four".