45248840 has 128 divisors (see below), whose sum is σ = 129669120. Its totient is φ = 13824000.

The previous prime is 45248807. The next prime is 45248867. The reversal of 45248840 is 4884254.

It is a super-3 number, since 3×45248840³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 45248840.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 112640 + ... + 113040.

It is an arithmetic number, because the mean of its divisors is an integer number (1013040).

Almost surely, 2^45248840 is an apocalyptic number.

45248840 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 45248840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64834560).

45248840 is an abundant number, since it is smaller than the sum of its proper divisors (84420280).

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

45248840 is a wasteful number, since it uses less digits than its factorization.

45248840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 35.

The square root of 45248840 is about 6726.7258008633. The cubic root of 45248840 is about 356.3437533080.

The spelling of 45248840 in words is "forty-five million, two hundred forty-eight thousand, eight hundred forty".