45697824 has 96 divisors (see below), whose sum is σ = 134447040. Its totient is φ = 15100416.

The previous prime is 45697807. The next prime is 45697837. The reversal of 45697824 is 42879654.

It is a happy number.

45697824 is a `hidden beast` number, since 4 + 569 + 7 + 82 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×45697824² = 4176582236669952, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45697824.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196012 + ... + 196244.

It is an arithmetic number, because the mean of its divisors is an integer number (1400490).

Almost surely, 2^45697824 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 45697824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67223520).

45697824 is an abundant number, since it is smaller than the sum of its proper divisors (88749216).

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

45697824 is a wasteful number, since it uses less digits than its factorization.

45697824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 465 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 45697824 is about 6760.0165680270. The cubic root of 45697824 is about 357.5184895975.

The spelling of 45697824 in words is "forty-five million, six hundred ninety-seven thousand, eight hundred twenty-four".