1054304000 has 144 divisors (see below), whose sum is σ = 2686110336. Its totient is φ = 412160000.

The previous prime is 1054303993. The next prime is 1054304003. The reversal of 1054304000 is 4034501.

It is a super-2 number, since 2×1054304000² = 2223113848832000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1054304000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054304003) 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, 1503650 + ... + 1504350.

It is an arithmetic number, because the mean of its divisors is an integer number (18653544).

Almost surely, 2^1054304000 is an apocalyptic number.

1054304000 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 1054304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343055168).

1054304000 is an abundant number, since it is smaller than the sum of its proper divisors (1631806336).

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

1054304000 is an frugal number, since it uses more digits than its factorization.

1054304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 1054304000 is about 32470.0477363369. The cubic root of 1054304000 is about 1017.7832159590.

Adding to 1054304000 its reverse (4034501), we get a palindrome (1058338501).

The spelling of 1054304000 in words is "one billion, fifty-four million, three hundred four thousand".