45708240 has 120 divisors (see below), whose sum is σ = 150749280. Its totient is φ = 11454464.

The previous prime is 45708233. The next prime is 45708253. The reversal of 45708240 is 4280754.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 45708198 and 45708207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69031 + ... + 69689.

It is an arithmetic number, because the mean of its divisors is an integer number (1256244).

Almost surely, 2^45708240 is an apocalyptic number.

45708240 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 45708240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75374640).

45708240 is an abundant number, since it is smaller than the sum of its proper divisors (105041040).

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

45708240 is a wasteful number, since it uses less digits than its factorization.

45708240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 45708240 is about 6760.7869364446. The cubic root of 45708240 is about 357.5456508447.

Adding to 45708240 its reverse (4280754), we get a palindrome (49988994).

The spelling of 45708240 in words is "forty-five million, seven hundred eight thousand, two hundred forty".