45817120 has 48 divisors (see below), whose sum is σ = 108795960. Its totient is φ = 18233344.

The previous prime is 45817117. The next prime is 45817133. The reversal of 45817120 is 2171854.

It can be written as a sum of positive squares in 4 ways, for example, as 42146064 + 3671056 = 6492^2 + 1916^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36666 + ... + 37894.

Almost surely, 2^45817120 is an apocalyptic number.

45817120 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 45817120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54397980).

45817120 is an abundant number, since it is smaller than the sum of its proper divisors (62978840).

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

45817120 is a wasteful number, since it uses less digits than its factorization.

45817120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 45817120 is about 6768.8344639236. The cubic root of 45817120 is about 357.8293247175.

Adding to 45817120 its reverse (2171854), we get a palindrome (47988974).

It can be divided in two parts, 458 and 17120, that added together give a triangular number (17578 = T₁₈₇).

The spelling of 45817120 in words is "forty-five million, eight hundred seventeen thousand, one hundred twenty".