1190264400 has 360 divisors, whose sum is σ = 4606918680. Its totient is φ = 282562560.

The previous prime is 1190264363. The next prime is 1190264477. The reversal of 1190264400 is 44620911.

1190264400 is a `hidden beast` number, since 1 + 19 + 0 + 2 + 644 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 303177744 + 887086656 = 17412^2 + 29784^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1356762 + ... + 1357638.

Almost surely, 2^1190264400 is an apocalyptic number.

1190264400 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 1190264400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2303459340).

1190264400 is an abundant number, since it is smaller than the sum of its proper divisors (3416654280).

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

1190264400 is a wasteful number, since it uses less digits than its factorization.

1190264400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1190264400 is about 34500.2086950210. The cubic root of 1190264400 is about 1059.7769793057.

The spelling of 1190264400 in words is "one billion, one hundred ninety million, two hundred sixty-four thousand, four hundred".