1353580800 has 864 divisors, whose sum is σ = 5748382080. Its totient is φ = 275251200.

The previous prime is 1353580763. The next prime is 1353580801. The reversal of 1353580800 is 80853531.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353580801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46675186 + ... + 46675214.

It is an arithmetic number, because the mean of its divisors is an integer number (6653220).

Almost surely, 2^1353580800 is an apocalyptic number.

1353580800 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 1353580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2874191040).

1353580800 is an abundant number, since it is smaller than the sum of its proper divisors (4394801280).

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

1353580800 is a wasteful number, since it uses less digits than its factorization.

1353580800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 1353580800 is about 36791.0423880596. The cubic root of 1353580800 is about 1106.1857557891.

The spelling of 1353580800 in words is "one billion, three hundred fifty-three million, five hundred eighty thousand, eight hundred".