51808464 has 80 divisors (see below), whose sum is σ = 152222400. Its totient is φ = 16861824.

The previous prime is 51808457. The next prime is 51808499. The reversal of 51808464 is 46480815.

51808464 is a `hidden beast` number, since 518 + 0 + 84 + 64 = 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 15 ways as a sum of consecutive naturals, for example, 17182 + ... + 19970.

It is an arithmetic number, because the mean of its divisors is an integer number (1902780).

Almost surely, 2^51808464 is an apocalyptic number.

51808464 is a gapful number since it is divisible by the number (54) 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 51808464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76111200).

51808464 is an abundant number, since it is smaller than the sum of its proper divisors (100413936).

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

51808464 is a wasteful number, since it uses less digits than its factorization.

51808464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2849 (or 2837 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 51808464 is about 7197.8096668362. The cubic root of 51808464 is about 372.7922760531.

The spelling of 51808464 in words is "fifty-one million, eight hundred eight thousand, four hundred sixty-four".