1045240400 has 60 divisors (see below), whose sum is σ = 2517723900. Its totient is φ = 417008640.

The previous prime is 1045240367. The next prime is 1045240411. The reversal of 1045240400 is 40425401.

It can be written as a sum of positive squares in 6 ways, for example, as 71301136 + 973939264 = 8444^2 + 31208^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 160406 + ... + 166794.

It is an arithmetic number, because the mean of its divisors is an integer number (41962065).

Almost surely, 2^1045240400 is an apocalyptic number.

1045240400 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 1045240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258861950).

1045240400 is an abundant number, since it is smaller than the sum of its proper divisors (1472483500).

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

1045240400 is a wasteful number, since it uses less digits than its factorization.

1045240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6816 (or 6805 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 1045240400 is about 32330.1778528977. The cubic root of 1045240400 is about 1014.8582716844.

Adding to 1045240400 its reverse (40425401), we get a palindrome (1085665801).

The spelling of 1045240400 in words is "one billion, forty-five million, two hundred forty thousand, four hundred".