1042252000 has 96 divisors (see below), whose sum is σ = 2599702560. Its totient is φ = 410572800.

The previous prime is 1042251989. The next prime is 1042252007. The reversal of 1042252000 is 2522401.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042252007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 266056 + ... + 269944.

It is an arithmetic number, because the mean of its divisors is an integer number (27080235).

Almost surely, 2^1042252000 is an apocalyptic number.

1042252000 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 1042252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299851280).

1042252000 is an abundant number, since it is smaller than the sum of its proper divisors (1557450560).

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

1042252000 is an equidigital number, since it uses as much as digits as its factorization.

1042252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3981 (or 3963 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 1042252000 is about 32283.9278898959. The cubic root of 1042252000 is about 1013.8901698725.

Adding to 1042252000 its reverse (2522401), we get a palindrome (1044774401).

The spelling of 1042252000 in words is "one billion, forty-two million, two hundred fifty-two thousand".