51434880 has 256 divisors, whose sum is σ = 193881600. Its totient is φ = 11354112.

The previous prime is 51434861. The next prime is 51434897. The reversal of 51434880 is 8843415.

It is a super-2 number, since 2×51434880² = 5291093761228800, which contains 22 as substring.

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, 577876 + ... + 577964.

It is an arithmetic number, because the mean of its divisors is an integer number (757350).

Almost surely, 2^51434880 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 51434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96940800).

51434880 is an abundant number, since it is smaller than the sum of its proper divisors (142446720).

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

51434880 is a wasteful number, since it uses less digits than its factorization.

51434880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 51434880 is about 7171.8114866469. The cubic root of 51434880 is about 371.8940616362.

The spelling of 51434880 in words is "fifty-one million, four hundred thirty-four thousand, eight hundred eighty".