51267456 has 96 divisors (see below), whose sum is σ = 148936320. Its totient is φ = 16926720.

The previous prime is 51267451. The next prime is 51267479. The reversal of 51267456 is 65476215.

It is a happy number.

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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 51267456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51267451) 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, 219916 + ... + 220148.

It is an arithmetic number, because the mean of its divisors is an integer number (1551420).

Almost surely, 2^51267456 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 51267456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74468160).

51267456 is an abundant number, since it is smaller than the sum of its proper divisors (97668864).

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

51267456 is a wasteful number, since it uses less digits than its factorization.

51267456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 429 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 51267456 is about 7160.1296077655. The cubic root of 51267456 is about 371.4901096122.

The spelling of 51267456 in words is "fifty-one million, two hundred sixty-seven thousand, four hundred fifty-six".