1134550400 has 96 divisors (see below), whose sum is σ = 2893356480. Its totient is φ = 439142400.

The previous prime is 1134550379. The next prime is 1134550409. The reversal of 1134550400 is 40554311.

It is a super-2 number, since 2×1134550400² = 2574409220280320000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1134550409) 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, 93482 + ... + 104918.

It is an arithmetic number, because the mean of its divisors is an integer number (30139130).

Almost surely, 2^1134550400 is an apocalyptic number.

1134550400 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 1134550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446678240).

1134550400 is an abundant number, since it is smaller than the sum of its proper divisors (1758806080).

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

1134550400 is a wasteful number, since it uses less digits than its factorization.

1134550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11492 (or 11475 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 1134550400 is about 33683.0877444453. The cubic root of 1134550400 is about 1042.9766791464.

The spelling of 1134550400 in words is "one billion, one hundred thirty-four million, five hundred fifty thousand, four hundred".