823429440 has 336 divisors, whose sum is σ = 3058338816. Its totient is φ = 202752000.

The previous prime is 823429427. The next prime is 823429447. The reversal of 823429440 is 44924328.

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

It is a junction number, because it is equal to n+sod(n) for n = 823429395 and 823429404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (823429447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2053240 + ... + 2053640.

Almost surely, 2^823429440 is an apocalyptic number.

823429440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 823429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529169408).

823429440 is an abundant number, since it is smaller than the sum of its proper divisors (2234909376).

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

823429440 is a wasteful number, since it uses less digits than its factorization.

823429440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 823429440 is about 28695.4602681330. The cubic root of 823429440 is about 937.2931938500.

The spelling of 823429440 in words is "eight hundred twenty-three million, four hundred twenty-nine thousand, four hundred forty".