51414480 has 160 divisors (see below), whose sum is σ = 190821120. Its totient is φ = 12648960.

The previous prime is 51414469. The next prime is 51414481. The reversal of 51414480 is 8441415.

It is a happy number.

51414480 is a `hidden beast` number, since 514 + 144 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 (51414481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27165 + ... + 28995.

It is an arithmetic number, because the mean of its divisors is an integer number (1192632).

Almost surely, 2^51414480 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 51414480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95410560).

51414480 is an abundant number, since it is smaller than the sum of its proper divisors (139406640).

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

51414480 is a wasteful number, since it uses less digits than its factorization.

51414480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1866 (or 1854 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 51414480 is about 7170.3891107805. The cubic root of 51414480 is about 371.8448885065.

Adding to 51414480 its reverse (8441415), we get a palindrome (59855895).

The spelling of 51414480 in words is "fifty-one million, four hundred fourteen thousand, four hundred eighty".