1023409296 has 240 divisors, whose sum is σ = 3681014400. Its totient is φ = 269837568.

The previous prime is 1023409273. The next prime is 1023409337. The reversal of 1023409296 is 6929043201.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 1023409296.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 273325 + ... + 277043.

It is an arithmetic number, because the mean of its divisors is an integer number (15337560).

Almost surely, 2^1023409296 is an apocalyptic number.

1023409296 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 1023409296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1840507200).

1023409296 is an abundant number, since it is smaller than the sum of its proper divisors (2657605104).

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

1023409296 is a wasteful number, since it uses less digits than its factorization.

1023409296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3763 (or 3744 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1023409296 is about 31990.7689185490. The cubic root of 1023409296 is about 1007.7429900312.

The spelling of 1023409296 in words is "one billion, twenty-three million, four hundred nine thousand, two hundred ninety-six".