47924720 has 80 divisors (see below), whose sum is σ = 115706880. Its totient is φ = 18450432.

The previous prime is 47924699. The next prime is 47924741. The reversal of 47924720 is 2742974.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (47924699) and next prime (47924741).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 377297 + ... + 377423.

It is an arithmetic number, because the mean of its divisors is an integer number (1446336).

Almost surely, 2^47924720 is an apocalyptic number.

47924720 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 47924720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57853440).

47924720 is an abundant number, since it is smaller than the sum of its proper divisors (67782160).

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

47924720 is a wasteful number, since it uses less digits than its factorization.

47924720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 47924720 is about 6922.7682324342. The cubic root of 47924720 is about 363.2340291041.

The spelling of 47924720 in words is "forty-seven million, nine hundred twenty-four thousand, seven hundred twenty".