1355904000 has 528 divisors, whose sum is σ = 5380105536. Its totient is φ = 325632000.

The previous prime is 1355903977. The next prime is 1355904007. The reversal of 1355904000 is 4095531.

1355904000 is a `hidden beast` number, since 1 + 35 + 590 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1355904007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12671947 + ... + 12672053.

Almost surely, 2^1355904000 is an apocalyptic number.

1355904000 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 1355904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2690052768).

1355904000 is an abundant number, since it is smaller than the sum of its proper divisors (4024201536).

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

1355904000 is a wasteful number, since it uses less digits than its factorization.

1355904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 1355904000 is about 36822.6017549005. The cubic root of 1355904000 is about 1106.8182563591.

Adding to 1355904000 its reverse (4095531), we get a palindrome (1359999531).

The spelling of 1355904000 in words is "one billion, three hundred fifty-five million, nine hundred four thousand".