45849240 has 192 divisors, whose sum is σ = 159213600. Its totient is φ = 11860992.

The previous prime is 45849229. The next prime is 45849241. The reversal of 45849240 is 4294854.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45849195 and 45849204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45849241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 515116 + ... + 515204.

Almost surely, 2^45849240 is an apocalyptic number.

45849240 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 45849240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79606800).

45849240 is an abundant number, since it is smaller than the sum of its proper divisors (113364360).

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

45849240 is a wasteful number, since it uses less digits than its factorization.

45849240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 45849240 is about 6771.2066871423. The cubic root of 45849240 is about 357.9129236949.

It can be divided in two parts, 4584 and 9240, that added together give a cube (13824 = 24³).

The spelling of 45849240 in words is "forty-five million, eight hundred forty-nine thousand, two hundred forty".