47946530400 has 144 divisors (see below), whose sum is σ = 164280110400. Its totient is φ = 12112796160.

The previous prime is 47946530383. The next prime is 47946530407. The reversal of 47946530400 is 403564974.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47946530407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 480130 + ... + 571329.

It is an arithmetic number, because the mean of its divisors is an integer number (1140834100).

Almost surely, 2^47946530400 is an apocalyptic number.

47946530400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

47946530400 is an abundant number, since it is smaller than the sum of its proper divisors (116333580000).

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

47946530400 is a wasteful number, since it uses less digits than its factorization.

47946530400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051501 (or 1051488 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 47946530400 in words is "forty-seven billion, nine hundred forty-six million, five hundred thirty thousand, four hundred".