47124480 has 208 divisors, whose sum is σ = 165130560. Its totient is φ = 11403264.

The previous prime is 47124463. The next prime is 47124487. The reversal of 47124480 is 8442174.

It is a tau number, because it is divible by the number of its divisors (208).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (47124487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 798691 + ... + 798749.

Almost surely, 2^47124480 is an apocalyptic number.

47124480 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 47124480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82565280).

47124480 is an abundant number, since it is smaller than the sum of its proper divisors (118006080).

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

47124480 is a wasteful number, since it uses less digits than its factorization.

47124480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 47124480 is about 6864.7272342024. The cubic root of 47124480 is about 361.2009276303.

The spelling of 47124480 in words is "forty-seven million, one hundred twenty-four thousand, four hundred eighty".