47121480 has 256 divisors, whose sum is σ = 188006400. Its totient is φ = 10264320.

The previous prime is 47121469. The next prime is 47121499. The reversal of 47121480 is 8412174.

47121480 = T₄₄₉ + T₄₅₀ + ... + T₇₁₉.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 173745 + ... + 174015.

It is an arithmetic number, because the mean of its divisors is an integer number (734400).

Almost surely, 2^47121480 is an apocalyptic number.

47121480 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 47121480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94003200).

47121480 is an abundant number, since it is smaller than the sum of its proper divisors (140884920).

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

47121480 is a wasteful number, since it uses less digits than its factorization.

47121480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 47121480 is about 6864.5087224069. The cubic root of 47121480 is about 361.1932626418.

The spelling of 47121480 in words is "forty-seven million, one hundred twenty-one thousand, four hundred eighty".