47946240 has 120 divisors (see below), whose sum is σ = 166131108. Its totient is φ = 12779520.

The previous prime is 47946233. The next prime is 47946257. The reversal of 47946240 is 4264974.

It can be written as a sum of positive squares in 2 ways, for example, as 47114496 + 831744 = 6864^2 + 912^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 47946195 and 47946204.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 22000 + ... + 24080.

Almost surely, 2^47946240 is an apocalyptic number.

47946240 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 47946240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83065554).

47946240 is an abundant number, since it is smaller than the sum of its proper divisors (118184868).

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

47946240 is a wasteful number, since it uses less digits than its factorization.

47946240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110 (or 2091 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 47946240 is about 6924.3223495155. The cubic root of 47946240 is about 363.2883895440.

The spelling of 47946240 in words is "forty-seven million, nine hundred forty-six thousand, two hundred forty".