47998080 has 192 divisors, whose sum is σ = 178771320. Its totient is φ = 11796480.

The previous prime is 47998057. The next prime is 47998099. The reversal of 47998080 is 8089974.

It can be written as a sum of positive squares in 4 ways, for example, as 39841344 + 8156736 = 6312^2 + 2856^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74560 + ... + 75200.

Almost surely, 2^47998080 is an apocalyptic number.

47998080 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 47998080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89385660).

47998080 is an abundant number, since it is smaller than the sum of its proper divisors (130773240).

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

47998080 is a wasteful number, since it uses less digits than its factorization.

47998080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 47998080 is about 6928.0646648252. The cubic root of 47998080 is about 363.4192728469.

The spelling of 47998080 in words is "forty-seven million, nine hundred ninety-eight thousand, eighty".