1023071400 has 144 divisors (see below), whose sum is σ = 3700192860. Its totient is φ = 251827200.

The previous prime is 1023071389. The next prime is 1023071411. The reversal of 1023071400 is 41703201.

It is an interprime number because it is at equal distance from previous prime (1023071389) and next prime (1023071411).

It can be written as a sum of positive squares in 6 ways, for example, as 274830084 + 748241316 = 16578^2 + 27354^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1540 + ... + 45260.

Almost surely, 2^1023071400 is an apocalyptic number.

1023071400 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 1023071400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850096430).

1023071400 is an abundant number, since it is smaller than the sum of its proper divisors (2677121460).

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

1023071400 is a wasteful number, since it uses less digits than its factorization.

1023071400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43756 (or 43744 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 1023071400 is about 31985.4873341020. The cubic root of 1023071400 is about 1007.6320699888.

Adding to 1023071400 its reverse (41703201), we get a palindrome (1064774601).

The spelling of 1023071400 in words is "one billion, twenty-three million, seventy-one thousand, four hundred".