47393280 has 360 divisors, whose sum is σ = 191026836. Its totient is φ = 10813440.

The previous prime is 47393261. The next prime is 47393323. The reversal of 47393280 is 8239374.

It can be written as a sum of positive squares in 2 ways, for example, as 47114496 + 278784 = 6864^2 + 528^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×47393280² = 4492245978316800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2787832 + ... + 2787848.

Almost surely, 2^47393280 is an apocalyptic number.

47393280 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 47393280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95513418).

47393280 is an abundant number, since it is smaller than the sum of its proper divisors (143633556).

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

47393280 is a wasteful number, since it uses less digits than its factorization.

47393280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 47393280 is about 6884.2777398940. The cubic root of 47393280 is about 361.8863943543.

The spelling of 47393280 in words is "forty-seven million, three hundred ninety-three thousand, two hundred eighty".