1134434400 has 288 divisors, whose sum is σ = 4078988928. Its totient is φ = 271564800.

The previous prime is 1134434363. The next prime is 1134434417. The reversal of 1134434400 is 44344311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2560579 + ... + 2561021.

It is an arithmetic number, because the mean of its divisors is an integer number (14163156).

Almost surely, 2^1134434400 is an apocalyptic number.

1134434400 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 1134434400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2039494464).

1134434400 is an abundant number, since it is smaller than the sum of its proper divisors (2944554528).

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

1134434400 is a wasteful number, since it uses less digits than its factorization.

1134434400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1134434400 is about 33681.3657680326. The cubic root of 1134434400 is about 1042.9411321966.

Adding to 1134434400 its reverse (44344311), we get a palindrome (1178778711).

It can be divided in two parts, 1134 and 434400, that added together give a palindrome (435534).

The spelling of 1134434400 in words is "one billion, one hundred thirty-four million, four hundred thirty-four thousand, four hundred".