1355468800 has 312 divisors, whose sum is σ = 4030234112. Its totient is φ = 442368000.

The previous prime is 1355468791. The next prime is 1355468809. The reversal of 1355468800 is 88645531.

It is an interprime number because it is at equal distance from previous prime (1355468791) and next prime (1355468809).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1355468809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22220770 + ... + 22220830.

Almost surely, 2^1355468800 is an apocalyptic number.

1355468800 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 1355468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015117056).

1355468800 is an abundant number, since it is smaller than the sum of its proper divisors (2674765312).

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

1355468800 is an equidigital number, since it uses as much as digits as its factorization.

1355468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The square root of 1355468800 is about 36816.6918665977. The cubic root of 1355468800 is about 1106.6998264285.

The spelling of 1355468800 in words is "one billion, three hundred fifty-five million, four hundred sixty-eight thousand, eight hundred".