47771400 has 96 divisors (see below), whose sum is σ = 149722560. Its totient is φ = 12599040.

The previous prime is 47771393. The next prime is 47771413. The reversal of 47771400 is 417774.

47771400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61414 + ... + 62186.

It is an arithmetic number, because the mean of its divisors is an integer number (1559610).

Almost surely, 2^47771400 is an apocalyptic number.

47771400 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 47771400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74861280).

47771400 is an abundant number, since it is smaller than the sum of its proper divisors (101951160).

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

47771400 is a wasteful number, since it uses less digits than its factorization.

47771400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 30.

The square root of 47771400 is about 6911.6857567456. The cubic root of 47771400 is about 362.8462644616.

The spelling of 47771400 in words is "forty-seven million, seven hundred seventy-one thousand, four hundred".