51738480 has 160 divisors (see below), whose sum is σ = 188827200. Its totient is φ = 12976128.

The previous prime is 51738451. The next prime is 51738517. The reversal of 51738480 is 8483715.

51738480 is a `hidden beast` number, since 5 + 173 + 8 + 480 = 666.

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 31 ways as a sum of consecutive naturals, for example, 36016 + ... + 37424.

It is an arithmetic number, because the mean of its divisors is an integer number (1180170).

Almost surely, 2^51738480 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 51738480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94413600).

51738480 is an abundant number, since it is smaller than the sum of its proper divisors (137088720).

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

51738480 is a wasteful number, since it uses less digits than its factorization.

51738480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 51738480 is about 7192.9465450537. The cubic root of 51738480 is about 372.6243417757.

The spelling of 51738480 in words is "fifty-one million, seven hundred thirty-eight thousand, four hundred eighty".