45541440 has 280 divisors, whose sum is σ = 185879232. Its totient is φ = 10368000.

The previous prime is 45541411. The next prime is 45541471. The reversal of 45541440 is 4414554.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 181315 + ... + 181565.

Almost surely, 2^45541440 is an apocalyptic number.

45541440 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 45541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92939616).

45541440 is an abundant number, since it is smaller than the sum of its proper divisors (140337792).

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

45541440 is a wasteful number, since it uses less digits than its factorization.

45541440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 45541440 is about 6748.4398196917. The cubic root of 45541440 is about 357.1101983089.

Adding to 45541440 its reverse (4414554), we get a palindrome (49955994).

The spelling of 45541440 in words is "forty-five million, five hundred forty-one thousand, four hundred forty".