47523840 has 384 divisors, whose sum is σ = 198132480. Its totient is φ = 9437184.

The previous prime is 47523767. The next prime is 47523859. The reversal of 47523840 is 4832574.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 680 × 104 × 672.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2795512 + ... + 2795528.

It is an arithmetic number, because the mean of its divisors is an integer number (515970).

Almost surely, 2^47523840 is an apocalyptic number.

47523840 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 47523840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99066240).

47523840 is an abundant number, since it is smaller than the sum of its proper divisors (150608640).

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

47523840 is a wasteful number, since it uses less digits than its factorization.

47523840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 47523840 is about 6893.7536944686. The cubic root of 47523840 is about 362.2184004069.

The spelling of 47523840 in words is "forty-seven million, five hundred twenty-three thousand, eight hundred forty".