43678440 has 320 divisors, whose sum is σ = 170145360. Its totient is φ = 9953280.

The previous prime is 43678391. The next prime is 43678447. The reversal of 43678440 is 4487634.

It can be written as a sum of positive squares in 8 ways, for example, as 5560164 + 38118276 = 2358^2 + 6174^2 .

It is a super-2 number, since 2×43678440² = 3815612241667200, which contains 22 as substring.

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 = 43678395 and 43678404.

It is not an unprimeable number, because it can be changed into a prime (43678447) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 716010 + ... + 716070.

Almost surely, 2^43678440 is an apocalyptic number.

43678440 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 43678440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85072680).

43678440 is an abundant number, since it is smaller than the sum of its proper divisors (126466920).

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

43678440 is a wasteful number, since it uses less digits than its factorization.

43678440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 43678440 is about 6608.9666363207. The cubic root of 43678440 is about 352.1727156875.

The spelling of 43678440 in words is "forty-three million, six hundred seventy-eight thousand, four hundred forty".