1023930400 has 72 divisors (see below), whose sum is σ = 2646744660. Its totient is φ = 385474560.

The previous prime is 1023930389. The next prime is 1023930409. The reversal of 1023930400 is 40393201.

It can be written as a sum of positive squares in 6 ways, for example, as 402724624 + 621205776 = 20068^2 + 24924^2 .

It is not an unprimeable number, because it can be changed into a prime (1023930409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24045 + ... + 51244.

Almost surely, 2^1023930400 is an apocalyptic number.

1023930400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023930400 is an abundant number, since it is smaller than the sum of its proper divisors (1622814260).

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

1023930400 is a wasteful number, since it uses less digits than its factorization.

1023930400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75326 (or 75313 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 1023930400 is about 31998.9124815204. The cubic root of 1023930400 is about 1007.9140033295.

The spelling of 1023930400 in words is "one billion, twenty-three million, nine hundred thirty thousand, four hundred".