355420800 has 576 divisors, whose sum is σ = 1519277760. Its totient is φ = 77414400.

The previous prime is 355420799. The next prime is 355420811. The reversal of 355420800 is 8024553.

It is a tau number, because it is divible by the number of its divisors (576).

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, 8265579 + ... + 8265621.

It is an arithmetic number, because the mean of its divisors is an integer number (2637635).

Almost surely, 2^355420800 is an apocalyptic number.

355420800 is a gapful number since it is divisible by the number (30) 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 355420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759638880).

355420800 is an abundant number, since it is smaller than the sum of its proper divisors (1163856960).

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

355420800 is a wasteful number, since it uses less digits than its factorization.

355420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 355420800 is about 18852.6072467444. The cubic root of 355420800 is about 708.3495353464.

The spelling of 355420800 in words is "three hundred fifty-five million, four hundred twenty thousand, eight hundred".