47977600 has 192 divisors, whose sum is σ = 136598400. Its totient is φ = 16486400.

The previous prime is 47977591. The next prime is 47977613. The reversal of 47977600 is 677974.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1020777 + ... + 1020823.

It is an arithmetic number, because the mean of its divisors is an integer number (711450).

Almost surely, 2^47977600 is an apocalyptic number.

47977600 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 47977600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68299200).

47977600 is an abundant number, since it is smaller than the sum of its proper divisors (88620800).

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

47977600 is a wasteful number, since it uses less digits than its factorization.

47977600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 40.

The square root of 47977600 is about 6926.5864608767. The cubic root of 47977600 is about 363.3675771295.

The spelling of 47977600 in words is "forty-seven million, nine hundred seventy-seven thousand, six hundred".