45867040 has 48 divisors (see below), whose sum is σ = 109612440. Its totient is φ = 18135040.

The previous prime is 45867023. The next prime is 45867053. The reversal of 45867040 is 4076854.

It can be written as a sum of positive squares in 4 ways, for example, as 35856144 + 10010896 = 5988^2 + 3164^2 .

It is a junction number, because it is equal to n+sod(n) for n = 45866987 and 45867005.

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 7 ways as a sum of consecutive naturals, for example, 12630 + ... + 15850.

Almost surely, 2^45867040 is an apocalyptic number.

45867040 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 45867040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54806220).

45867040 is an abundant number, since it is smaller than the sum of its proper divisors (63745400).

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

45867040 is a wasteful number, since it uses less digits than its factorization.

45867040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3325 (or 3317 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 45867040 is about 6772.5209486572. The cubic root of 45867040 is about 357.9592350824.

The spelling of 45867040 in words is "forty-five million, eight hundred sixty-seven thousand, forty".