1042400304 has 120 divisors (see below), whose sum is σ = 3192243600. Its totient is φ = 314910720.

The previous prime is 1042400291. The next prime is 1042400309. The reversal of 1042400304 is 4030042401.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1042400309) 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, 647052 + ... + 648660.

It is an arithmetic number, because the mean of its divisors is an integer number (26602030).

Almost surely, 2^1042400304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042400304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596121800).

1042400304 is an abundant number, since it is smaller than the sum of its proper divisors (2149843296).

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

1042400304 is a wasteful number, since it uses less digits than its factorization.

1042400304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2043 (or 2034 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1042400304 is about 32286.2246786458. The cubic root of 1042400304 is about 1013.9382570390.

Adding to 1042400304 its reverse (4030042401), we get a palindrome (5072442705).

The spelling of 1042400304 in words is "one billion, forty-two million, four hundred thousand, three hundred four".