45894240 has 288 divisors, whose sum is σ = 186338880. Its totient is φ = 10063872.

The previous prime is 45894239. The next prime is 45894257. The reversal of 45894240 is 4249854.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45894195 and 45894204.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 292242 + ... + 292398.

It is an arithmetic number, because the mean of its divisors is an integer number (647010).

Almost surely, 2^45894240 is an apocalyptic number.

45894240 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 45894240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93169440).

45894240 is an abundant number, since it is smaller than the sum of its proper divisors (140444640).

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

45894240 is a wasteful number, since it uses less digits than its factorization.

45894240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 45894240 is about 6774.5287658995. The cubic root of 45894240 is about 358.0299799077.

The spelling of 45894240 in words is "forty-five million, eight hundred ninety-four thousand, two hundred forty".