47934900 has 216 divisors, whose sum is σ = 172035864. Its totient is φ = 11059200.

The previous prime is 47934899. The next prime is 47934911. The reversal of 47934900 is 943974.

It can be written as a sum of positive squares in 12 ways, for example, as 9072144 + 38862756 = 3012^2 + 6234^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 198780 + ... + 199020.

Almost surely, 2^47934900 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 47934900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86017932).

47934900 is an abundant number, since it is smaller than the sum of its proper divisors (124100964).

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

47934900 is a wasteful number, since it uses less digits than its factorization.

47934900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 47934900 is about 6923.5034483995. The cubic root of 47934900 is about 363.2597462471.

The spelling of 47934900 in words is "forty-seven million, nine hundred thirty-four thousand, nine hundred".