51504480 has 144 divisors (see below), whose sum is σ = 179734464. Its totient is φ = 13424640.

The previous prime is 51504473. The next prime is 51504503. The reversal of 51504480 is 8440515.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×51504480² = 5305422920140800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67300 + ... + 68060.

It is an arithmetic number, because the mean of its divisors is an integer number (1248156).

Almost surely, 2^51504480 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 51504480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89867232).

51504480 is an abundant number, since it is smaller than the sum of its proper divisors (128229984).

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

51504480 is a wasteful number, since it uses less digits than its factorization.

51504480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 51504480 is about 7176.6621768062. The cubic root of 51504480 is about 372.0617309973.

Adding to 51504480 its reverse (8440515), we get a palindrome (59944995).

It can be divided in two parts, 51504 and 480, that added together give a square (51984 = 228²).

The spelling of 51504480 in words is "fifty-one million, five hundred four thousand, four hundred eighty".