51454656 has 112 divisors (see below), whose sum is σ = 165079680. Its totient is φ = 15586560.

The previous prime is 51454651. The next prime is 51454673. The reversal of 51454656 is 65645415.

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 51454656.

It is not an unprimeable number, because it can be changed into a prime (51454651) 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, 17655 + ... + 20361.

Almost surely, 2^51454656 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 51454656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82539840).

51454656 is an abundant number, since it is smaller than the sum of its proper divisors (113625024).

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

51454656 is a wasteful number, since it uses less digits than its factorization.

51454656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2739 (or 2723 counting only the distinct ones).

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

The square root of 51454656 is about 7173.1900853107. The cubic root of 51454656 is about 371.9417182367.

It can be divided in two parts, 5145 and 4656, that added together give a square (9801 = 99²).

The spelling of 51454656 in words is "fifty-one million, four hundred fifty-four thousand, six hundred fifty-six".