1020423200 has 144 divisors (see below), whose sum is σ = 2564976456. Its totient is φ = 396288000.

The previous prime is 1020423197. The next prime is 1020423241. The reversal of 1020423200 is 23240201.

It can be written as a sum of positive squares in 12 ways, for example, as 543262864 + 477160336 = 23308^2 + 21844^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5898314 + ... + 5898486.

Almost surely, 2^1020423200 is an apocalyptic number.

1020423200 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 1020423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282488228).

1020423200 is an abundant number, since it is smaller than the sum of its proper divisors (1544553256).

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

1020423200 is a wasteful number, since it uses less digits than its factorization.

1020423200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 1020423200 is about 31944.0636112565. The cubic root of 1020423200 is about 1006.7619068895.

Adding to 1020423200 its reverse (23240201), we get a palindrome (1043663401).

The spelling of 1020423200 in words is "one billion, twenty million, four hundred twenty-three thousand, two hundred".