1020043200 has 168 divisors, whose sum is σ = 3651016320. Its totient is φ = 247270400.

The previous prime is 1020043183. The next prime is 1020043201. The reversal of 1020043200 is 23400201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020043201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43141 + ... + 62459.

It is an arithmetic number, because the mean of its divisors is an integer number (21732240).

Almost surely, 2^1020043200 is an apocalyptic number.

1020043200 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 1020043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825508160).

1020043200 is an abundant number, since it is smaller than the sum of its proper divisors (2630973120).

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

1020043200 is a wasteful number, since it uses less digits than its factorization.

1020043200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19355 (or 19340 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 1020043200 is about 31938.1151604161. The cubic root of 1020043200 is about 1006.6369205036.

Adding to 1020043200 its reverse (23400201), we get a palindrome (1043443401).

The spelling of 1020043200 in words is "one billion, twenty million, forty-three thousand, two hundred".