47436400 has 60 divisors (see below), whose sum is σ = 124338024. Its totient is φ = 17248000.

The previous prime is 47436397. The next prime is 47436461. The reversal of 47436400 is 463474.

47436400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 991 + ... + 9790.

Almost surely, 2^47436400 is an apocalyptic number.

47436400 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 47436400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62169012).

47436400 is an abundant number, since it is smaller than the sum of its proper divisors (76901624).

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

47436400 is a wasteful number, since it uses less digits than its factorization.

47436400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10810 (or 10799 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 47436400 is about 6887.4088015741. The cubic root of 47436400 is about 361.9961132230.

Adding to 47436400 its reverse (463474), we get a palindrome (47899874).

The spelling of 47436400 in words is "forty-seven million, four hundred thirty-six thousand, four hundred".