47206400 has 78 divisors (see below), whose sum is σ = 117311502. Its totient is φ = 18841600.

The previous prime is 47206363. The next prime is 47206421. The reversal of 47206400 is 460274.

It can be written as a sum of positive squares in 3 ways, for example, as 1183744 + 46022656 = 1088^2 + 6784^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 102170 + ... + 102630.

Almost surely, 2^47206400 is an apocalyptic number.

47206400 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 47206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58655751).

47206400 is an abundant number, since it is smaller than the sum of its proper divisors (70105102).

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

47206400 is an equidigital number, since it uses as much as digits as its factorization.

47206400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 47206400 is about 6870.6913771468. The cubic root of 47206400 is about 361.4101073079.

Adding to 47206400 its reverse (460274), we get a palindrome (47666674).

The spelling of 47206400 in words is "forty-seven million, two hundred six thousand, four hundred".