1053030400 has 144 divisors (see below), whose sum is σ = 2647564920. Its totient is φ = 415334400.

The previous prime is 1053030301. The next prime is 1053030401. The reversal of 1053030400 is 40303501.

It is a super-2 number, since 2×1053030400² = 2217746046648320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053030401) 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, 6707122 + ... + 6707278.

Almost surely, 2^1053030400 is an apocalyptic number.

1053030400 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 1053030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323782460).

1053030400 is an abundant number, since it is smaller than the sum of its proper divisors (1594534520).

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

1053030400 is a wasteful number, since it uses less digits than its factorization.

1053030400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 1053030400 is about 32450.4298892942. The cubic root of 1053030400 is about 1017.3732232020.

Adding to 1053030400 its reverse (40303501), we get a palindrome (1093333901).

The spelling of 1053030400 in words is "one billion, fifty-three million, thirty thousand, four hundred".