524226816 has 189 divisors, whose sum is σ = 1599051349. Its totient is φ = 171445248.

The previous prime is 524226809. The next prime is 524226883. The reversal of 524226816 is 618622425.

It is a happy number.

The square root of 524226816 is 22896.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 377913600 + 146313216 = 19440^2 + 12096^2 .

It is a super-2 number, since 2×524226816² = 549627509226995712, which contains 22 as substring.

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

It is a Duffinian 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 20 ways as a sum of consecutive naturals, for example, 9891046 + ... + 9891098.

Almost surely, 2^524226816 is an apocalyptic number.

524226816 is the 22896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 524226816

524226816 is an abundant number, since it is smaller than the sum of its proper divisors (1074824533).

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

524226816 is an frugal number, since it uses more digits than its factorization.

524226816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 58 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The cubic root of 524226816 is about 806.3181039280.

Multiplying 524226816 by its sum of digits (36), we get a square (18872165376 = 137376²).

524226816 divided by its sum of digits (36) gives a square (14561856 = 3816²).

The spelling of 524226816 in words is "five hundred twenty-four million, two hundred twenty-six thousand, eight hundred sixteen".