45428240 has 180 divisors, whose sum is σ = 131952492. Its totient is φ = 14446080.

The previous prime is 45428213. The next prime is 45428249. The reversal of 45428240 is 4282454.

It can be written as a sum of positive squares in 2 ways, for example, as 11182336 + 34245904 = 3344^2 + 5852^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45428249) 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 35 ways as a sum of consecutive naturals, for example, 2390951 + ... + 2390969.

Almost surely, 2^45428240 is an apocalyptic number.

45428240 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 45428240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65976246).

45428240 is an abundant number, since it is smaller than the sum of its proper divisors (86524252).

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

45428240 is a wasteful number, since it uses less digits than its factorization.

45428240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 29.

The square root of 45428240 is about 6740.0474775776. The cubic root of 45428240 is about 356.8140693709.

The spelling of 45428240 in words is "forty-five million, four hundred twenty-eight thousand, two hundred forty".