527952438 has 64 divisors (see below), whose sum is σ = 1284292800. Its totient is φ = 159770880.

The previous prime is 527952431. The next prime is 527952443. The reversal of 527952438 is 834259725.

527952438 is a `hidden beast` number, since 52 + 79 + 524 + 3 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 527952393 and 527952402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (527952431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36658 + ... + 48986.

It is an arithmetic number, because the mean of its divisors is an integer number (20067075).

Almost surely, 2^527952438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 527952438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642146400).

527952438 is an abundant number, since it is smaller than the sum of its proper divisors (756340362).

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

527952438 is a wasteful number, since it uses less digits than its factorization.

527952438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12414 (or 12408 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 527952438 is about 22977.2156276604. The cubic root of 527952438 is about 808.2237345247.

The spelling of 527952438 in words is "five hundred twenty-seven million, nine hundred fifty-two thousand, four hundred thirty-eight".