47827416 has 128 divisors (see below), whose sum is σ = 149990400. Its totient is φ = 12372480.

The previous prime is 47827411. The next prime is 47827441. The reversal of 47827416 is 61472874.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47827411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133045 + ... + 133403.

It is an arithmetic number, because the mean of its divisors is an integer number (1171800).

Almost surely, 2^47827416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47827416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74995200).

47827416 is an abundant number, since it is smaller than the sum of its proper divisors (102162984).

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

47827416 is a wasteful number, since it uses less digits than its factorization.

47827416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 445 counting only the distinct ones).

The product of its digits is 75264, while the sum is 39.

The square root of 47827416 is about 6915.7368370984. The cubic root of 47827416 is about 362.9880316919.

The spelling of 47827416 in words is "forty-seven million, eight hundred twenty-seven thousand, four hundred sixteen".