1055330400 has 144 divisors (see below), whose sum is σ = 3486901824. Its totient is φ = 277178880.

The previous prime is 1055330399. The next prime is 1055330417. The reversal of 1055330400 is 40335501.

It is a super-2 number, since 2×1055330400² = 2227444506328320000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 157519 + ... + 164081.

It is an arithmetic number, because the mean of its divisors is an integer number (24214596).

Almost surely, 2^1055330400 is an apocalyptic number.

1055330400 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 1055330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743450912).

1055330400 is an abundant number, since it is smaller than the sum of its proper divisors (2431571424).

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

1055330400 is a wasteful number, since it uses less digits than its factorization.

1055330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6653 (or 6640 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 1055330400 is about 32485.8492270096. The cubic root of 1055330400 is about 1018.1133907709.

Adding to 1055330400 its reverse (40335501), we get a palindrome (1095665901).

The spelling of 1055330400 in words is "one billion, fifty-five million, three hundred thirty thousand, four hundred".