1356224400 has 90 divisors (see below), whose sum is σ = 4706487890. Its totient is φ = 361658880.

The previous prime is 1356224377. The next prime is 1356224431. The reversal of 1356224400 is 44226531.

1356224400 is a `hidden beast` number, since 1 + 35 + 6 + 224 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 101364624 + 1254859776 = 10068^2 + 35424^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 184765 + ... + 191964.

Almost surely, 2^1356224400 is an apocalyptic number.

1356224400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1356224400 is an abundant number, since it is smaller than the sum of its proper divisors (3350263490).

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

1356224400 is a wasteful number, since it uses less digits than its factorization.

1356224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376753 (or 376739 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 1356224400 is about 36826.9520867530. The cubic root of 1356224400 is about 1106.9054298464.

The spelling of 1356224400 in words is "one billion, three hundred fifty-six million, two hundred twenty-four thousand, four hundred".