51431424 has 96 divisors (see below), whose sum is σ = 149778720. Its totient is φ = 15564800.

The previous prime is 51431407. The next prime is 51431441. The reversal of 51431424 is 42413415.

It is an interprime number because it is at equal distance from previous prime (51431407) and next prime (51431441).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 51431394 and 51431403.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67204 + ... + 67964.

It is an arithmetic number, because the mean of its divisors is an integer number (1560195).

Almost surely, 2^51431424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51431424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74889360).

51431424 is an abundant number, since it is smaller than the sum of its proper divisors (98347296).

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

51431424 is a wasteful number, since it uses less digits than its factorization.

51431424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 777 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 51431424 is about 7171.5705392891. The cubic root of 51431424 is about 371.8857320444.

Adding to 51431424 its reverse (42413415), we get a palindrome (93844839).

Subtracting from 51431424 its reverse (42413415), we obtain a square (9018009 = 3003²).

The spelling of 51431424 in words is "fifty-one million, four hundred thirty-one thousand, four hundred twenty-four".