47980800 has 486 divisors, whose sum is σ = 211287258. Its totient is φ = 10321920.

The previous prime is 47980789. The next prime is 47980811. The reversal of 47980800 is 808974.

It is an interprime number because it is at equal distance from previous prime (47980789) and next prime (47980811).

It can be written as a sum of positive squares in 3 ways, for example, as 7225344 + 40755456 = 2688^2 + 6384^2 .

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 53 ways as a sum of consecutive naturals, for example, 2822392 + ... + 2822408.

Almost surely, 2^47980800 is an apocalyptic number.

47980800 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 47980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105643629).

47980800 is an abundant number, since it is smaller than the sum of its proper divisors (163306458).

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

47980800 is a wasteful number, since it uses less digits than its factorization.

47980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 47980800 is about 6926.8174510377. The cubic root of 47980800 is about 363.3756555550.

The spelling of 47980800 in words is "forty-seven million, nine hundred eighty thousand, eight hundred".