1164405200 has 120 divisors (see below), whose sum is σ = 3219734400. Its totient is φ = 396403200.

The previous prime is 1164405181. The next prime is 1164405211. The reversal of 1164405200 is 25044611.

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, 415805 + ... + 418595.

It is an arithmetic number, because the mean of its divisors is an integer number (26831120).

Almost surely, 2^1164405200 is an apocalyptic number.

1164405200 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 1164405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609867200).

1164405200 is an abundant number, since it is smaller than the sum of its proper divisors (2055329200).

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

1164405200 is a wasteful number, since it uses less digits than its factorization.

1164405200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2965 (or 2954 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 1164405200 is about 34123.3820129248. The cubic root of 1164405200 is about 1052.0459578876.

Adding to 1164405200 its reverse (25044611), we get a palindrome (1189449811).

The spelling of 1164405200 in words is "one billion, one hundred sixty-four million, four hundred five thousand, two hundred".