527493408 has 288 divisors, whose sum is σ = 1685650176. Its totient is φ = 143007744.

The previous prime is 527493397. The next prime is 527493443. The reversal of 527493408 is 804394725.

It is a self number, because there is not a number n which added to its sum of digits gives 527493408.

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, 11223241 + ... + 11223287.

It is an arithmetic number, because the mean of its divisors is an integer number (5852952).

Almost surely, 2^527493408 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 527493408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842825088).

527493408 is an abundant number, since it is smaller than the sum of its proper divisors (1158156768).

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

527493408 is a wasteful number, since it uses less digits than its factorization.

527493408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 527493408 is about 22967.2246473099. The cubic root of 527493408 is about 807.9894290026.

The spelling of 527493408 in words is "five hundred twenty-seven million, four hundred ninety-three thousand, four hundred eight".