504661248 has 432 divisors, whose sum is σ = 1874920320. Its totient is φ = 126959616.

The previous prime is 504661247. The next prime is 504661301. The reversal of 504661248 is 842166405.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504661247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6080215 + ... + 6080297.

Almost surely, 2^504661248 is an apocalyptic number.

504661248 is a gapful number since it is divisible by the number (58) 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 504661248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (937460160).

504661248 is an abundant number, since it is smaller than the sum of its proper divisors (1370259072).

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

504661248 is a wasteful number, since it uses less digits than its factorization.

504661248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 504661248 is about 22464.6666567746. Note that the first 4 decimals coincide. The cubic root of 504661248 is about 796.1593243533.

The spelling of 504661248 in words is "five hundred four million, six hundred sixty-one thousand, two hundred forty-eight".