47268900 has 288 divisors, whose sum is σ = 180821760. Its totient is φ = 10368000.

The previous prime is 47268883. The next prime is 47268937. The reversal of 47268900 is 986274.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 774870 + ... + 774930.

Almost surely, 2^47268900 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 47268900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90410880).

47268900 is an abundant number, since it is smaller than the sum of its proper divisors (133552860).

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

47268900 is a wasteful number, since it uses less digits than its factorization.

47268900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 47268900 is about 6875.2381776925. The cubic root of 47268900 is about 361.5695360459.

The spelling of 47268900 in words is "forty-seven million, two hundred sixty-eight thousand, nine hundred".