47386400 has 36 divisors (see below), whose sum is σ = 115684002. Its totient is φ = 18954240.

The previous prime is 47386393. The next prime is 47386403. The reversal of 47386400 is 468374.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 27920656 + 19465744 = 5284^2 + 4412^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (47386403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28817 + ... + 30416.

Almost surely, 2^47386400 is an apocalyptic number.

47386400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47386400 is an abundant number, since it is smaller than the sum of its proper divisors (68297602).

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

47386400 is a wasteful number, since it uses less digits than its factorization.

47386400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59253 (or 59240 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 47386400 is about 6883.7780324470. The cubic root of 47386400 is about 361.8688820341.

The spelling of 47386400 in words is "forty-seven million, three hundred eighty-six thousand, four hundred".