1023434496 has 432 divisors, whose sum is σ = 3673313280. Its totient is φ = 267632640.

The previous prime is 1023434491. The next prime is 1023434507. The reversal of 1023434496 is 6944343201.

It is a happy number.

1023434496 is a `hidden beast` number, since 102 + 34 + 34 + 496 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1023434496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023434491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11499220 + ... + 11499308.

It is an arithmetic number, because the mean of its divisors is an integer number (8503040).

Almost surely, 2^1023434496 is an apocalyptic number.

1023434496 is a gapful number since it is divisible by the number (16) 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 1023434496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1836656640).

1023434496 is an abundant number, since it is smaller than the sum of its proper divisors (2649878784).

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

1023434496 is a wasteful number, since it uses less digits than its factorization.

1023434496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 1023434496 is about 31991.1627797428. The cubic root of 1023434496 is about 1007.7512613765.

Adding to 1023434496 its reverse (6944343201), we get a palindrome (7967777697).

The spelling of 1023434496 in words is "one billion, twenty-three million, four hundred thirty-four thousand, four hundred ninety-six".