45852240 has 160 divisors (see below), whose sum is σ = 166060800. Its totient is φ = 10461696.

The previous prime is 45852223. The next prime is 45852241. The reversal of 45852240 is 4225854.

45852240 = T₃₃₆ + T₃₃₇ + ... + T₆₇₈.

45852240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 45852198 and 45852207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45852241) 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 31 ways as a sum of consecutive naturals, for example, 82042 + ... + 82598.

It is an arithmetic number, because the mean of its divisors is an integer number (1037880).

Almost surely, 2^45852240 is an apocalyptic number.

45852240 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 45852240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83030400).

45852240 is an abundant number, since it is smaller than the sum of its proper divisors (120208560).

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

45852240 is a wasteful number, since it uses less digits than its factorization.

45852240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 45852240 is about 6771.4282097649. The cubic root of 45852240 is about 357.9207298246.

The spelling of 45852240 in words is "forty-five million, eight hundred fifty-two thousand, two hundred forty".