1130304400 has 75 divisors (see below), whose sum is σ = 2783445205. Its totient is φ = 441094400.

The previous prime is 1130304337. The next prime is 1130304421. The reversal of 1130304400 is 44030311.

The square root of 1130304400 is 33620.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 884943504 + 245360896 = 29748^2 + 15664^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 27568380 + ... + 27568420.

Almost surely, 2^1130304400 is an apocalyptic number.

1130304400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1130304400 is the 33620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130304400

1130304400 is an abundant number, since it is smaller than the sum of its proper divisors (1653140805).

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

1130304400 is an frugal number, since it uses more digits than its factorization.

1130304400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The cubic root of 1130304400 is about 1041.6739560734.

Multiplying 1130304400 by its sum of digits (16), we get a square (18084870400 = 134480²).

1130304400 divided by its sum of digits (16) gives a square (70644025 = 8405²).

Multiplying 1130304400 by its product of nonzero digits (144), we get a square (162763833600 = 403440²).

Adding to 1130304400 its reverse (44030311), we get a palindrome (1174334711).

The spelling of 1130304400 in words is "one billion, one hundred thirty million, three hundred four thousand, four hundred".