47460400 has 60 divisors (see below), whose sum is σ = 122808112. Its totient is φ = 17521920.

The previous prime is 47460377. The next prime is 47460403. The reversal of 47460400 is 406474.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (47460403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 637 + ... + 9763.

Almost surely, 2^47460400 is an apocalyptic number.

47460400 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 47460400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61404056).

47460400 is an abundant number, since it is smaller than the sum of its proper divisors (75347712).

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

47460400 is a wasteful number, since it uses less digits than its factorization.

47460400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9158 (or 9147 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 47460400 is about 6889.1508910750. The cubic root of 47460400 is about 362.0571524386.

Adding to 47460400 its reverse (406474), we get a palindrome (47866874).

The spelling of 47460400 in words is "forty-seven million, four hundred sixty thousand, four hundred".