43780440 has 128 divisors (see below), whose sum is σ = 151787520. Its totient is φ = 9984000.

The previous prime is 43780439. The next prime is 43780481. The reversal of 43780440 is 4408734.

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 = 43780398 and 43780407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21465 + ... + 23415.

It is an arithmetic number, because the mean of its divisors is an integer number (1185840).

Almost surely, 2^43780440 is an apocalyptic number.

43780440 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 43780440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75893760).

43780440 is an abundant number, since it is smaller than the sum of its proper divisors (108007080).

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

43780440 is a wasteful number, since it uses less digits than its factorization.

43780440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1993 (or 1989 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 43780440 is about 6616.6789252615. The cubic root of 43780440 is about 352.4466394758.

The spelling of 43780440 in words is "forty-three million, seven hundred eighty thousand, four hundred forty".