355900480 has 84 divisors (see below), whose sum is σ = 917833572. Its totient is φ = 131389440.

The previous prime is 355900471. The next prime is 355900483. The reversal of 355900480 is 84009553.

It can be written as a sum of positive squares in 6 ways, for example, as 113039424 + 242861056 = 10632^2 + 15584^2 .

It is not an unprimeable number, because it can be changed into a prime (355900483) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50790 + ... + 57370.

Almost surely, 2^355900480 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 355900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458916786).

355900480 is an abundant number, since it is smaller than the sum of its proper divisors (561933092).

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

355900480 is a wasteful number, since it uses less digits than its factorization.

355900480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6624 (or 6601 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 355900480 is about 18865.3248050491. The cubic root of 355900480 is about 708.6680576559.

The spelling of 355900480 in words is "three hundred fifty-five million, nine hundred thousand, four hundred eighty".