1362225600 has 420 divisors, whose sum is σ = 5236335984. Its totient is φ = 346705920.

The previous prime is 1362225569. The next prime is 1362225607. The reversal of 1362225600 is 65222631.

1362225600 is a `hidden beast` number, since 1 + 36 + 2 + 2 + 25 + 600 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1362225607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2980572 + ... + 2981028.

Almost surely, 2^1362225600 is an apocalyptic number.

1362225600 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 1362225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2618167992).

1362225600 is an abundant number, since it is smaller than the sum of its proper divisors (3874110384).

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

1362225600 is a wasteful number, since it uses less digits than its factorization.

1362225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1362225600 is about 36908.3405208091. The cubic root of 1362225600 is about 1108.5356878284.

The spelling of 1362225600 in words is "one billion, three hundred sixty-two million, two hundred twenty-five thousand, six hundred".