45824640 has 128 divisors (see below), whose sum is σ = 151286400. Its totient is φ = 11784192.

The previous prime is 45824621. The next prime is 45824641. The reversal of 45824640 is 4642854.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×45824640² = 4199795262259200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45824641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55269 + ... + 56091.

It is an arithmetic number, because the mean of its divisors is an integer number (1181925).

Almost surely, 2^45824640 is an apocalyptic number.

45824640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45824640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75643200).

45824640 is an abundant number, since it is smaller than the sum of its proper divisors (105461760).

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

45824640 is a wasteful number, since it uses less digits than its factorization.

45824640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 45824640 is about 6769.3899281988. The cubic root of 45824640 is about 357.8489005829.

It can be divided in two parts, 45824 and 640, that added together give a palindrome (46464).

The spelling of 45824640 in words is "forty-five million, eight hundred twenty-four thousand, six hundred forty".