45097440 has 96 divisors (see below), whose sum is σ = 145152000. Its totient is φ = 11764224.

The previous prime is 45097369. The next prime is 45097463. The reversal of 45097440 is 4479054.

It is a happy number.

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

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, 21561 + ... + 23559.

It is an arithmetic number, because the mean of its divisors is an integer number (1512000).

Almost surely, 2^45097440 is an apocalyptic number.

45097440 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 45097440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72576000).

45097440 is an abundant number, since it is smaller than the sum of its proper divisors (100054560).

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

45097440 is a wasteful number, since it uses less digits than its factorization.

45097440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2064 (or 2056 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 45097440 is about 6715.4627539731. The cubic root of 45097440 is about 355.9458740251.

The spelling of 45097440 in words is "forty-five million, ninety-seven thousand, four hundred forty".