47280456 has 128 divisors (see below), whose sum is σ = 141926400. Its totient is φ = 14541120.

The previous prime is 47280439. The next prime is 47280461. The reversal of 47280456 is 65408274.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 47280456.

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 31 ways as a sum of consecutive naturals, for example, 153855 + ... + 154161.

It is an arithmetic number, because the mean of its divisors is an integer number (1108800).

Almost surely, 2^47280456 is an apocalyptic number.

47280456 is a gapful number since it is divisible by the number (46) 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 47280456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70963200).

47280456 is an abundant number, since it is smaller than the sum of its proper divisors (94645944).

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

47280456 is a wasteful number, since it uses less digits than its factorization.

47280456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 47280456 is about 6876.0785335829. The cubic root of 47280456 is about 361.5989983852.

The spelling of 47280456 in words is "forty-seven million, two hundred eighty thousand, four hundred fifty-six".