47401200 has 600 divisors, whose sum is σ = 223259520. Its totient is φ = 9331200.

The previous prime is 47401199. The next prime is 47401223. The reversal of 47401200 is 210474.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-2 number, since 2×47401200² = 4493747522880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2494791 + ... + 2494809.

Almost surely, 2^47401200 is an apocalyptic number.

47401200 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 47401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111629760).

47401200 is an abundant number, since it is smaller than the sum of its proper divisors (175858320).

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

47401200 is a wasteful number, since it uses less digits than its factorization.

47401200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 47401200 is about 6884.8529396059. The cubic root of 47401200 is about 361.9065517873.

Adding to 47401200 its reverse (210474), we get a palindrome (47611674).

The spelling of 47401200 in words is "forty-seven million, four hundred one thousand, two hundred".