1355873904 has 360 divisors, whose sum is σ = 5001429888. Its totient is φ = 351630720.

The previous prime is 1355873899. The next prime is 1355873927. The reversal of 1355873904 is 4093785531.

1355873904 is a `hidden beast` number, since 1 + 3 + 558 + 7 + 3 + 90 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1355873904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2095309 + ... + 2095955.

Almost surely, 2^1355873904 is an apocalyptic number.

1355873904 is a gapful number since it is divisible by the number (14) 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 1355873904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2500714944).

1355873904 is an abundant number, since it is smaller than the sum of its proper divisors (3645555984).

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

1355873904 is a wasteful number, since it uses less digits than its factorization.

1355873904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 1355873904 is about 36822.1930905806. The cubic root of 1355873904 is about 1106.8100672226.

The spelling of 1355873904 in words is "one billion, three hundred fifty-five million, eight hundred seventy-three thousand, nine hundred four".