1042546000 has 80 divisors (see below), whose sum is σ = 2549635920. Its totient is φ = 412262400.

The previous prime is 1042545971. The next prime is 1042546019. The reversal of 1042546000 is 6452401.

It can be written as a sum of positive squares in 8 ways, for example, as 236667456 + 805878544 = 15384^2 + 28388^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 175072 + ... + 180928.

It is an arithmetic number, because the mean of its divisors is an integer number (31870449).

Almost surely, 2^1042546000 is an apocalyptic number.

1042546000 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 1042546000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1274817960).

1042546000 is an abundant number, since it is smaller than the sum of its proper divisors (1507089920).

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

1042546000 is an equidigital number, since it uses as much as digits as its factorization.

1042546000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5969 (or 5953 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 1042546000 is about 32288.4809181231. The cubic root of 1042546000 is about 1013.9854941275.

Adding to 1042546000 its reverse (6452401), we get a palindrome (1048998401).

The spelling of 1042546000 in words is "one billion, forty-two million, five hundred forty-six thousand".