45337440 has 96 divisors (see below), whose sum is σ = 147782880. Its totient is φ = 11669504.

The previous prime is 45337433. The next prime is 45337441. The reversal of 45337440 is 4473354.

45337440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 45337398 and 45337407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45337441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12292 + ... + 15548.

It is an arithmetic number, because the mean of its divisors is an integer number (1539405).

Almost surely, 2^45337440 is an apocalyptic number.

45337440 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 45337440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73891440).

45337440 is an abundant number, since it is smaller than the sum of its proper divisors (102445440).

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

45337440 is a wasteful number, since it uses less digits than its factorization.

45337440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3304 (or 3296 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 30.

The square root of 45337440 is about 6733.3082507784. The cubic root of 45337440 is about 356.5761826348.

The spelling of 45337440 in words is "forty-five million, three hundred thirty-seven thousand, four hundred forty".