45617280 has 128 divisors (see below), whose sum is σ = 151873920. Its totient is φ = 11624448.

The previous prime is 45617267. The next prime is 45617321. The reversal of 45617280 is 8271654.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43644 + ... + 44676.

It is an arithmetic number, because the mean of its divisors is an integer number (1186515).

Almost surely, 2^45617280 is an apocalyptic number.

45617280 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 45617280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75936960).

45617280 is an abundant number, since it is smaller than the sum of its proper divisors (106256640).

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

45617280 is a wasteful number, since it uses less digits than its factorization.

45617280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 45617280 is about 6754.0565588393. The cubic root of 45617280 is about 357.3083198253.

The spelling of 45617280 in words is "forty-five million, six hundred seventeen thousand, two hundred eighty".