824378436 has 72 divisors (see below), whose sum is σ = 2386587840. Its totient is φ = 235037376.

The previous prime is 824378407. The next prime is 824378473. The reversal of 824378436 is 634873428.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 824378391 and 824378400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125055 + ... + 131481.

Almost surely, 2^824378436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 824378436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193293920).

824378436 is an abundant number, since it is smaller than the sum of its proper divisors (1562209404).

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

824378436 is a wasteful number, since it uses less digits than its factorization.

824378436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6953 (or 6948 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 824378436 is about 28711.9911535233. The cubic root of 824378436 is about 937.6531299733.

The spelling of 824378436 in words is "eight hundred twenty-four million, three hundred seventy-eight thousand, four hundred thirty-six".