47793280 has 64 divisors (see below), whose sum is σ = 116494200. Its totient is φ = 18743296.

The previous prime is 47793259. The next prime is 47793283. The reversal of 47793280 is 8239774.

It can be written as a sum of positive squares in 4 ways, for example, as 28643904 + 19149376 = 5352^2 + 4376^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×47793280² = 4568395226316800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (47793283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33216 + ... + 34624.

Almost surely, 2^47793280 is an apocalyptic number.

47793280 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 47793280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58247100).

47793280 is an abundant number, since it is smaller than the sum of its proper divisors (68700920).

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

47793280 is a wasteful number, since it uses less digits than its factorization.

47793280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 47793280 is about 6913.2684021380. The cubic root of 47793280 is about 362.9016523053.

The spelling of 47793280 in words is "forty-seven million, seven hundred ninety-three thousand, two hundred eighty".