51465456 has 240 divisors, whose sum is σ = 179099648. Its totient is φ = 13996800.

The previous prime is 51465437. The next prime is 51465461. The reversal of 51465456 is 65456415.

It is a super-2 number, since 2×51465456² = 5297386322575872, which contains 22 as substring.

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 51465456.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 843666 + ... + 843726.

Almost surely, 2^51465456 is an apocalyptic number.

51465456 is a gapful number since it is divisible by the number (56) 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 51465456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89549824).

51465456 is an abundant number, since it is smaller than the sum of its proper divisors (127634192).

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

51465456 is a wasteful number, since it uses less digits than its factorization.

51465456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 104 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 51465456 is about 7173.9428489499. The cubic root of 51465456 is about 371.9677391378.

The spelling of 51465456 in words is "fifty-one million, four hundred sixty-five thousand, four hundred fifty-six".