504628896 has 48 divisors (see below), whose sum is σ = 1331424864. Its totient is φ = 167349504.

The previous prime is 504628877. The next prime is 504628897. The reversal of 504628896 is 698826405.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (504628897) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5571 + ... + 32253.

It is an arithmetic number, because the mean of its divisors is an integer number (27738018).

Almost surely, 2^504628896 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 504628896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665712432).

504628896 is an abundant number, since it is smaller than the sum of its proper divisors (826795968).

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

504628896 is a wasteful number, since it uses less digits than its factorization.

504628896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26893 (or 26885 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 504628896 is about 22463.9465811331. The cubic root of 504628896 is about 796.1423110287.

The spelling of 504628896 in words is "five hundred four million, six hundred twenty-eight thousand, eight hundred ninety-six".