51432000 has 112 divisors (see below), whose sum is σ = 169907712. Its totient is φ = 13708800.

The previous prime is 51431983. The next prime is 51432001. The reversal of 51432000 is 23415.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (51432001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22929 + ... + 25071.

Almost surely, 2^51432000 is an apocalyptic number.

51432000 is a gapful number since it is divisible by the number (50) 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 51432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84953856).

51432000 is an abundant number, since it is smaller than the sum of its proper divisors (118475712).

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

51432000 is a wasteful number, since it uses less digits than its factorization.

51432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2173 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 51432000 is about 7171.6106977443. The cubic root of 51432000 is about 371.8871203356.

Adding to 51432000 its reverse (23415), we get a palindrome (51455415).

The spelling of 51432000 in words is "fifty-one million, four hundred thirty-two thousand".