51464160 has 360 divisors, whose sum is σ = 209114136. Its totient is φ = 11819520.

The previous prime is 51464131. The next prime is 51464167. The reversal of 51464160 is 6146415.

51464160 is a `hidden beast` number, since 5 + 14 + 641 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51464167) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 2708631 + ... + 2708649.

Almost surely, 2^51464160 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 51464160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104557068).

51464160 is an abundant number, since it is smaller than the sum of its proper divisors (157649976).

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

51464160 is a wasteful number, since it uses less digits than its factorization.

51464160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 51464160 is about 7173.8525214838. The cubic root of 51464160 is about 371.9646168219.

The spelling of 51464160 in words is "fifty-one million, four hundred sixty-four thousand, one hundred sixty".