51846480 has 280 divisors, whose sum is σ = 208177152. Its totient is φ = 11757312.

The previous prime is 51846469. The next prime is 51846503. The reversal of 51846480 is 8464815.

51846480 is a `hidden beast` number, since 5 + 1 + 8 + 4 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (280).

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 55 ways as a sum of consecutive naturals, for example, 408177 + ... + 408303.

Almost surely, 2^51846480 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 51846480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104088576).

51846480 is an abundant number, since it is smaller than the sum of its proper divisors (156330672).

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

51846480 is a wasteful number, since it uses less digits than its factorization.

51846480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 144 counting only the distinct ones).

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

The square root of 51846480 is about 7200.4499859384. The cubic root of 51846480 is about 372.8834362297.

It can be divided in two parts, 51846 and 480, that added together give a triangular number (52326 = T₃₂₃).

The spelling of 51846480 in words is "fifty-one million, eight hundred forty-six thousand, four hundred eighty".