1356448900 has 81 divisors (see below), whose sum is σ = 3072686799. Its totient is φ = 519744960.

The previous prime is 1356448883. The next prime is 1356448901. The reversal of 1356448900 is 98446531.

The square root of 1356448900 is 36830.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 18645124 + 1337803776 = 4318^2 + 36576^2 .

It is a super-2 number, since 2×1356448900² = 3679907236622420000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1356448901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10680637 + ... + 10680763.

Almost surely, 2^1356448900 is an apocalyptic number.

1356448900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1356448900 is the 36830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1356448900

1356448900 is an abundant number, since it is smaller than the sum of its proper divisors (1716237899).

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

1356448900 is a wasteful number, since it uses less digits than its factorization.

1356448900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The cubic root of 1356448900 is about 1106.9665029644.

The spelling of 1356448900 in words is "one billion, three hundred fifty-six million, four hundred forty-eight thousand, nine hundred".