47132400 has 240 divisors, whose sum is σ = 179099648. Its totient is φ = 10368000.

The previous prime is 47132341. The next prime is 47132417. The reversal of 47132400 is 423174.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260310 + ... + 260490.

Almost surely, 2^47132400 is an apocalyptic number.

47132400 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 47132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89549824).

47132400 is an abundant number, since it is smaller than the sum of its proper divisors (131967248).

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

47132400 is a wasteful number, since it uses less digits than its factorization.

47132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 47132400 is about 6865.3040719257. The cubic root of 47132400 is about 361.2211616367.

Adding to 47132400 its reverse (423174), we get a palindrome (47555574).

The spelling of 47132400 in words is "forty-seven million, one hundred thirty-two thousand, four hundred".