47819520 has 216 divisors, whose sum is σ = 189405216. Its totient is φ = 10911744.

The previous prime is 47819509. The next prime is 47819533. The reversal of 47819520 is 2591874.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80344 + ... + 80936.

It is an arithmetic number, because the mean of its divisors is an integer number (876876).

Almost surely, 2^47819520 is an apocalyptic number.

47819520 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 47819520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94702608).

47819520 is an abundant number, since it is smaller than the sum of its proper divisors (141585696).

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

47819520 is a wasteful number, since it uses less digits than its factorization.

47819520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 47819520 is about 6915.1659416098. The cubic root of 47819520 is about 362.9680549262.

The spelling of 47819520 in words is "forty-seven million, eight hundred nineteen thousand, five hundred twenty".