45726240 has 192 divisors, whose sum is σ = 170311680. Its totient is φ = 10091520.

The previous prime is 45726203. The next prime is 45726257. The reversal of 45726240 is 4262754.

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 = 45726198 and 45726207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103941 + ... + 104379.

It is an arithmetic number, because the mean of its divisors is an integer number (887040).

Almost surely, 2^45726240 is an apocalyptic number.

45726240 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 45726240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85155840).

45726240 is an abundant number, since it is smaller than the sum of its proper divisors (124585440).

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

45726240 is a wasteful number, since it uses less digits than its factorization.

45726240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 45726240 is about 6762.1180113926. The cubic root of 45726240 is about 357.5925787589.

Adding to 45726240 its reverse (4262754), we get a palindrome (49988994).

The spelling of 45726240 in words is "forty-five million, seven hundred twenty-six thousand, two hundred forty".