1353408000 has 640 divisors, whose sum is σ = 5515361280. Its totient is φ = 287539200.

The previous prime is 1353407977. The next prime is 1353408031. The reversal of 1353408000 is 8043531.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25535974 + ... + 25536026.

It is an arithmetic number, because the mean of its divisors is an integer number (8617752).

Almost surely, 2^1353408000 is an apocalyptic number.

1353408000 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 1353408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757680640).

1353408000 is an abundant number, since it is smaller than the sum of its proper divisors (4161953280).

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

1353408000 is an equidigital number, since it uses as much as digits as its factorization.

1353408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1353408000 is about 36788.6939153866. The cubic root of 1353408000 is about 1106.1386813839.

The spelling of 1353408000 in words is "one billion, three hundred fifty-three million, four hundred eight thousand".