1053430400 has 96 divisors (see below), whose sum is σ = 2838970080. Its totient is φ = 383052800.

The previous prime is 1053430397. The next prime is 1053430403. The reversal of 1053430400 is 40343501.

It is an interprime number because it is at equal distance from previous prime (1053430397) and next prime (1053430403).

It is a super-2 number, since 2×1053430400² = 2219431215288320000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1053430403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20237 + ... + 50163.

It is an arithmetic number, because the mean of its divisors is an integer number (29572605).

Almost surely, 2^1053430400 is an apocalyptic number.

1053430400 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 1053430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419485040).

1053430400 is an abundant number, since it is smaller than the sum of its proper divisors (1785539680).

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

1053430400 is a wasteful number, since it uses less digits than its factorization.

1053430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29962 (or 29945 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 1053430400 is about 32456.5925506668. The cubic root of 1053430400 is about 1017.5020253629.

Adding to 1053430400 its reverse (40343501), we get a palindrome (1093773901).

The spelling of 1053430400 in words is "one billion, fifty-three million, four hundred thirty thousand, four hundred".