50964900 has 108 divisors (see below), whose sum is σ = 171582768. Its totient is φ = 11645760.

The previous prime is 50964889. The next prime is 50964911. The reversal of 50964900 is 946905.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (50964889) and next prime (50964911).

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 35 ways as a sum of consecutive naturals, for example, 12967 + ... + 16433.

Almost surely, 2^50964900 is an apocalyptic number.

50964900 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 50964900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85791384).

50964900 is an abundant number, since it is smaller than the sum of its proper divisors (120617868).

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

50964900 is a wasteful number, since it uses less digits than its factorization.

50964900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3498 (or 3484 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 50964900 is about 7138.9705140167. The cubic root of 50964900 is about 370.7578816600.

The spelling of 50964900 in words is "fifty million, nine hundred sixty-four thousand, nine hundred".