47738880 has 312 divisors, whose sum is σ = 194224992. Its totient is φ = 10616832.

The previous prime is 47738879. The next prime is 47738881. The reversal of 47738880 is 8883774.

It is an interprime number because it is at equal distance from previous prime (47738879) and next prime (47738881).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47738881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1290222 + ... + 1290258.

It is an arithmetic number, because the mean of its divisors is an integer number (622516).

Almost surely, 2^47738880 is an apocalyptic number.

47738880 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 47738880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97112496).

47738880 is an abundant number, since it is smaller than the sum of its proper divisors (146486112).

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

47738880 is a wasteful number, since it uses less digits than its factorization.

47738880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 47738880 is about 6909.3328187315. The cubic root of 47738880 is about 362.7639108703.

The spelling of 47738880 in words is "forty-seven million, seven hundred thirty-eight thousand, eight hundred eighty".