43870400 has 84 divisors (see below), whose sum is σ = 123401328. Its totient is φ = 15037440.

The previous prime is 43870391. The next prime is 43870423. The reversal of 43870400 is 407834.

It is a super-2 number, since 2×43870400² = 3849223992320000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 43870400.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 9242 + ... + 13158.

Almost surely, 2^43870400 is an apocalyptic number.

43870400 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 43870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61700664).

43870400 is an abundant number, since it is smaller than the sum of its proper divisors (79530928).

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

43870400 is a wasteful number, since it uses less digits than its factorization.

43870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3946 (or 3931 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 43870400 is about 6623.4734090204. The cubic root of 43870400 is about 352.6878766423.

The spelling of 43870400 in words is "forty-three million, eight hundred seventy thousand, four hundred".