47822400 has 294 divisors, whose sum is σ = 180731922. Its totient is φ = 12441600.

The previous prime is 47822399. The next prime is 47822419. The reversal of 47822400 is 422874.

It can be written as a sum of positive squares in 3 ways, for example, as 46656 + 47775744 = 216^2 + 6912^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1166380 + ... + 1166420.

Almost surely, 2^47822400 is an apocalyptic number.

47822400 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 47822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90365961).

47822400 is an abundant number, since it is smaller than the sum of its proper divisors (132909522).

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

47822400 is an equidigital number, since it uses as much as digits as its factorization.

47822400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 47822400 is about 6915.3741764275. The cubic root of 47822400 is about 362.9753415393.

The spelling of 47822400 in words is "forty-seven million, eight hundred twenty-two thousand, four hundred".