45411840 has 240 divisors, whose sum is σ = 165333168. Its totient is φ = 11943936.

The previous prime is 45411833. The next prime is 45411841. The reversal of 45411840 is 4811454.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45411841) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 622044 + ... + 622116.

Almost surely, 2^45411840 is an apocalyptic number.

45411840 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 45411840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82666584).

45411840 is an abundant number, since it is smaller than the sum of its proper divisors (119921328).

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

45411840 is an frugal number, since it uses more digits than its factorization.

45411840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 45411840 is about 6738.8307591154. The cubic root of 45411840 is about 356.7711265152.

The spelling of 45411840 in words is "forty-five million, four hundred eleven thousand, eight hundred forty".