1134950400 has 288 divisors, whose sum is σ = 4173951600. Its totient is φ = 302284800.

The previous prime is 1134950381. The next prime is 1134950431. The reversal of 1134950400 is 40594311.

1134950400 is a `hidden beast` number, since 113 + 49 + 504 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1134950400² = 2576224820920320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1381990 + ... + 1382810.

Almost surely, 2^1134950400 is an apocalyptic number.

1134950400 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 1134950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2086975800).

1134950400 is an abundant number, since it is smaller than the sum of its proper divisors (3039001200).

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

1134950400 is an equidigital number, since it uses as much as digits as its factorization.

1134950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1134950400 is about 33689.0249191038. The cubic root of 1134950400 is about 1043.0992362559.

The spelling of 1134950400 in words is "one billion, one hundred thirty-four million, nine hundred fifty thousand, four hundred".