524878640 has 240 divisors, whose sum is σ = 1493383584. Its totient is φ = 170311680.

The previous prime is 524878631. The next prime is 524878661. The reversal of 524878640 is 46878425.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 524878591 and 524878600.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5411072 + ... + 5411168.

Almost surely, 2^524878640 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 524878640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746691792).

524878640 is an abundant number, since it is smaller than the sum of its proper divisors (968504944).

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

524878640 is a wasteful number, since it uses less digits than its factorization.

524878640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 44.

The square root of 524878640 is about 22910.2300293995. The cubic root of 524878640 is about 806.6521576821.

The spelling of 524878640 in words is "five hundred twenty-four million, eight hundred seventy-eight thousand, six hundred forty".