1023630400 has 168 divisors, whose sum is σ = 2807710920. Its totient is φ = 364707840.

The previous prime is 1023630379. The next prime is 1023630449. The reversal of 1023630400 is 40363201.

It can be written as a sum of positive squares in 12 ways, for example, as 171924544 + 851705856 = 13112^2 + 29184^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 602352 + ... + 604048.

It is an arithmetic number, because the mean of its divisors is an integer number (16712565).

Almost surely, 2^1023630400 is an apocalyptic number.

1023630400 is a gapful number since it is divisible by the number (10) 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 1023630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403855460).

1023630400 is an abundant number, since it is smaller than the sum of its proper divisors (1784080520).

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

1023630400 is a wasteful number, since it uses less digits than its factorization.

1023630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 1023630400 is about 31994.2244788024. The cubic root of 1023630400 is about 1007.8155579219.

Adding to 1023630400 its reverse (40363201), we get a palindrome (1063993601).

The spelling of 1023630400 in words is "one billion, twenty-three million, six hundred thirty thousand, four hundred".