51090480 has 320 divisors, whose sum is σ = 209510400. Its totient is φ = 11197440.

The previous prime is 51090443. The next prime is 51090497. The reversal of 51090480 is 8409015.

It is a super-2 number, since 2×51090480² = 5220474293260800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 468666 + ... + 468774.

It is an arithmetic number, because the mean of its divisors is an integer number (654720).

Almost surely, 2^51090480 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 51090480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104755200).

51090480 is an abundant number, since it is smaller than the sum of its proper divisors (158419920).

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

51090480 is a wasteful number, since it uses less digits than its factorization.

51090480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 51090480 is about 7147.7604884327. The cubic root of 51090480 is about 371.0621537191.

Adding to 51090480 its reverse (8409015), we get a palindrome (59499495).

The spelling of 51090480 in words is "fifty-one million, ninety thousand, four hundred eighty".