51195456 has 224 divisors, whose sum is σ = 168981120. Its totient is φ = 15095808.

The previous prime is 51195451. The next prime is 51195497. The reversal of 51195456 is 65459115.

51195456 is a `hidden beast` number, since 511 + 95 + 4 + 56 = 666.

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 51195456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51195451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 965926 + ... + 965978.

It is an arithmetic number, because the mean of its divisors is an integer number (754380).

Almost surely, 2^51195456 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 51195456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84490560).

51195456 is an abundant number, since it is smaller than the sum of its proper divisors (117785664).

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

51195456 is a wasteful number, since it uses less digits than its factorization.

51195456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 114 counting only the distinct ones).

The product of its digits is 27000, while the sum is 36.

The square root of 51195456 is about 7155.0999993012. The cubic root of 51195456 is about 371.3161212705.

The spelling of 51195456 in words is "fifty-one million, one hundred ninety-five thousand, four hundred fifty-six".