51765480 has 160 divisors (see below), whose sum is σ = 187525800. Its totient is φ = 12731904.

The previous prime is 51765449. The next prime is 51765509. The reversal of 51765480 is 8456715.

51765480 is a `hidden beast` number, since 5 + 176 + 5 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 46539684 + 5225796 = 6822^2 + 2286^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41506 + ... + 42734.

Almost surely, 2^51765480 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 51765480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93762900).

51765480 is an abundant number, since it is smaller than the sum of its proper divisors (135760320).

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

51765480 is a wasteful number, since it uses less digits than its factorization.

51765480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1265 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 51765480 is about 7194.8231388965. The cubic root of 51765480 is about 372.6891491662.

The spelling of 51765480 in words is "fifty-one million, seven hundred sixty-five thousand, four hundred eighty".