355459104 has 480 divisors, whose sum is σ = 1413853056. Its totient is φ = 84602880.

The previous prime is 355459081. The next prime is 355459109. The reversal of 355459104 is 401954553.

355459104 is a `hidden beast` number, since 3 + 5 + 545 + 9 + 104 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (355459109) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2594524 + ... + 2594660.

Almost surely, 2^355459104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 355459104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706926528).

355459104 is an abundant number, since it is smaller than the sum of its proper divisors (1058393952).

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

355459104 is a wasteful number, since it uses less digits than its factorization.

355459104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 355459104 is about 18853.6231000834. The cubic root of 355459104 is about 708.3749809084.

The spelling of 355459104 in words is "three hundred fifty-five million, four hundred fifty-nine thousand, one hundred four".