47091200 has 120 divisors (see below), whose sum is σ = 126090888. Its totient is φ = 17326080.

The previous prime is 47091197. The next prime is 47091203. The reversal of 47091200 is 219074.

It is an interprime number because it is at equal distance from previous prime (47091197) and next prime (47091203).

It is a super-2 number, since 2×47091200² = 4435162234880000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47091203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166259 + ... + 166541.

Almost surely, 2^47091200 is an apocalyptic number.

47091200 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 47091200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63045444).

47091200 is an abundant number, since it is smaller than the sum of its proper divisors (78999688).

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

47091200 is a wasteful number, since it uses less digits than its factorization.

47091200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 47091200 is about 6862.3028204823. The cubic root of 47091200 is about 361.1158791393.

The spelling of 47091200 in words is "forty-seven million, ninety-one thousand, two hundred".