47921040 has 240 divisors, whose sum is σ = 176417280. Its totient is φ = 11612160.

The previous prime is 47921023. The next prime is 47921053. The reversal of 47921040 is 4012974.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 47920995 and 47921013.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 424024 + ... + 424136.

It is an arithmetic number, because the mean of its divisors is an integer number (735072).

Almost surely, 2^47921040 is an apocalyptic number.

47921040 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 47921040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88208640).

47921040 is an abundant number, since it is smaller than the sum of its proper divisors (128496240).

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

47921040 is a wasteful number, since it uses less digits than its factorization.

47921040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 47921040 is about 6922.5024377027. The cubic root of 47921040 is about 363.2247316376.

It can be divided in two parts, 4792 and 1040, that added together give a cube (5832 = 18³).

The spelling of 47921040 in words is "forty-seven million, nine hundred twenty-one thousand, forty".