526409820 has 96 divisors (see below), whose sum is σ = 1723948800. Its totient is φ = 132985152.

The previous prime is 526409797. The next prime is 526409831. The reversal of 526409820 is 28904625.

It is a happy number.

526409820 is a `hidden beast` number, since 5 + 2 + 640 + 9 + 8 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 15394 + ... + 35913.

It is an arithmetic number, because the mean of its divisors is an integer number (17957800).

Almost surely, 2^526409820 is an apocalyptic number.

It is an amenable number.

526409820 is an abundant number, since it is smaller than the sum of its proper divisors (1197538980).

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

526409820 is a wasteful number, since it uses less digits than its factorization.

526409820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51344 (or 51336 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 526409820 is about 22943.6226433403. The cubic root of 526409820 is about 807.4357867957.

The spelling of 526409820 in words is "five hundred twenty-six million, four hundred nine thousand, eight hundred twenty".