526829490 has 192 divisors, whose sum is σ = 1652182272. Its totient is φ = 114892800.

The previous prime is 526829483. The next prime is 526829491. The reversal of 526829490 is 94928625.

526829490 is a `hidden beast` number, since 526 + 82 + 9 + 49 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (526829491) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 386410 + ... + 387770.

It is an arithmetic number, because the mean of its divisors is an integer number (8605116).

Almost surely, 2^526829490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 526829490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826091136).

526829490 is an abundant number, since it is smaller than the sum of its proper divisors (1125352782).

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

526829490 is a wasteful number, since it uses less digits than its factorization.

526829490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1425 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 526829490 is about 22952.7664999233. The cubic root of 526829490 is about 807.6503006306.

The spelling of 526829490 in words is "five hundred twenty-six million, eight hundred twenty-nine thousand, four hundred ninety".