43200480 has 48 divisors (see below), whose sum is σ = 136083024. Its totient is φ = 11520000.

The previous prime is 43200467. The next prime is 43200499. The reversal of 43200480 is 8400234.

It is a happy number.

43200480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44521 + ... + 45480.

It is an arithmetic number, because the mean of its divisors is an integer number (2835063).

Almost surely, 2^43200480 is an apocalyptic number.

43200480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

43200480 is an abundant number, since it is smaller than the sum of its proper divisors (92882544).

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

43200480 is a wasteful number, since it uses less digits than its factorization.

43200480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90019 (or 90011 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 43200480 is about 6572.7072047977. The cubic root of 43200480 is about 350.8834281442.

The spelling of 43200480 in words is "forty-three million, two hundred thousand, four hundred eighty".