45973824 has 112 divisors (see below), whose sum is σ = 132965952. Its totient is φ = 13934592.

The previous prime is 45973777. The next prime is 45973841. The reversal of 45973824 is 42837954.

It is a super-2 number, since 2×45973824² = 4227184986365952, which contains 22 as substring.

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, 281967 + ... + 282129.

It is an arithmetic number, because the mean of its divisors is an integer number (1187196).

Almost surely, 2^45973824 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 45973824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66482976).

45973824 is an abundant number, since it is smaller than the sum of its proper divisors (86992128).

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

45973824 is a wasteful number, since it uses less digits than its factorization.

45973824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 294 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 45973824 is about 6780.3999882013. The cubic root of 45973824 is about 358.2368105386.

The spelling of 45973824 in words is "forty-five million, nine hundred seventy-three thousand, eight hundred twenty-four".