1024438896 has 240 divisors, whose sum is σ = 3235348480. Its totient is φ = 300464640.

The previous prime is 1024438847. The next prime is 1024438897. The reversal of 1024438896 is 6988344201.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024438897) 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, 7369995 + ... + 7370133.

Almost surely, 2^1024438896 is an apocalyptic number.

1024438896 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 1024438896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617674240).

1024438896 is an abundant number, since it is smaller than the sum of its proper divisors (2210909584).

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

1024438896 is a wasteful number, since it uses less digits than its factorization.

1024438896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 1024438896 is about 32006.8570153334. The cubic root of 1024438896 is about 1008.0808230733.

The spelling of 1024438896 in words is "one billion, twenty-four million, four hundred thirty-eight thousand, eight hundred ninety-six".