507224640 has 224 divisors, whose sum is σ = 1756379520. Its totient is φ = 123273216.

The previous prime is 507224629. The next prime is 507224647. The reversal of 507224640 is 46422705.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 507224598 and 507224607.

It is not an unprimeable number, because it can be changed into a prime (507224647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1210351 + ... + 1210769.

It is an arithmetic number, because the mean of its divisors is an integer number (7840980).

Almost surely, 2^507224640 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 507224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878189760).

507224640 is an abundant number, since it is smaller than the sum of its proper divisors (1249154880).

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

507224640 is a wasteful number, since it uses less digits than its factorization.

507224640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 507224640 is about 22521.6482522927. The cubic root of 507224640 is about 797.5050605183.

The spelling of 507224640 in words is "five hundred seven million, two hundred twenty-four thousand, six hundred forty".