51460500 has 288 divisors, whose sum is σ = 191842560. Its totient is φ = 10483200.

The previous prime is 51460477. The next prime is 51460501. The reversal of 51460500 is 506415.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51460501) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1774486 + ... + 1774514.

It is an arithmetic number, because the mean of its divisors is an integer number (666120).

Almost surely, 2^51460500 is an apocalyptic number.

51460500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51460500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95921280).

51460500 is an abundant number, since it is smaller than the sum of its proper divisors (140382060).

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

51460500 is a wasteful number, since it uses less digits than its factorization.

51460500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 51460500 is about 7173.5974238871. The cubic root of 51460500 is about 371.9557988874.

Adding to 51460500 its reverse (506415), we get a palindrome (51966915).

The spelling of 51460500 in words is "fifty-one million, four hundred sixty thousand, five hundred".