45611440 has 80 divisors (see below), whose sum is σ = 122849280. Its totient is φ = 15425280.

The previous prime is 45611431. The next prime is 45611443. The reversal of 45611440 is 4411654.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (45611443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43725 + ... + 44755.

It is an arithmetic number, because the mean of its divisors is an integer number (1535616).

Almost surely, 2^45611440 is an apocalyptic number.

45611440 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 45611440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61424640).

45611440 is an abundant number, since it is smaller than the sum of its proper divisors (77237840).

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

45611440 is a wasteful number, since it uses less digits than its factorization.

45611440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 45611440 is about 6753.6242122286. The cubic root of 45611440 is about 357.2930714396.

The spelling of 45611440 in words is "forty-five million, six hundred eleven thousand, four hundred forty".