1335561400 has 72 divisors (see below), whose sum is σ = 3173703120. Its totient is φ = 522685120.

The previous prime is 1335561391. The next prime is 1335561407. The reversal of 1335561400 is 41655331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1335561407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 440289 + ... + 443311.

It is an arithmetic number, because the mean of its divisors is an integer number (44079210).

Almost surely, 2^1335561400 is an apocalyptic number.

1335561400 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 1335561400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586851560).

1335561400 is an abundant number, since it is smaller than the sum of its proper divisors (1838141720).

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

1335561400 is a wasteful number, since it uses less digits than its factorization.

1335561400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3133 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 1335561400 is about 36545.3334914323. Note that the first 3 decimals coincide. The cubic root of 1335561400 is about 1101.2551512912.

The spelling of 1335561400 in words is "one billion, three hundred thirty-five million, five hundred sixty-one thousand, four hundred".