824984042 has 24 divisors (see below), whose sum is σ = 1303022700. Its totient is φ = 391501440.

The previous prime is 824984029. The next prime is 824984051. The reversal of 824984042 is 240489428.

It can be written as a sum of positive squares in 6 ways, for example, as 624450121 + 200533921 = 24989^2 + 14161^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

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 11 ways as a sum of consecutive naturals, for example, 108584 + ... + 115932.

Almost surely, 2^824984042 is an apocalyptic number.

824984042 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

824984042 is a deficient number, since it is larger than the sum of its proper divisors (478038658).

824984042 is a wasteful number, since it uses less digits than its factorization.

824984042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7466 (or 7429 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 41.

The square root of 824984042 is about 28722.5354382234. The cubic root of 824984042 is about 937.8826804411.

The spelling of 824984042 in words is "eight hundred twenty-four million, nine hundred eighty-four thousand, forty-two".