355256640 has 168 divisors, whose sum is σ = 1229017608. Its totient is φ = 94187520.

The previous prime is 355256611. The next prime is 355256651. The reversal of 355256640 is 46652553.

It is a happy number.

355256640 is a `hidden beast` number, since 3 + 5 + 5 + 2 + 5 + 6 + 640 = 666.

355256640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 19927296 + 335329344 = 4464^2 + 18312^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 355256595 and 355256604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 843630 + ... + 844050.

It is an arithmetic number, because the mean of its divisors is an integer number (7315581).

Almost surely, 2^355256640 is an apocalyptic number.

355256640 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 355256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614508804).

355256640 is an abundant number, since it is smaller than the sum of its proper divisors (873760968).

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

355256640 is a wasteful number, since it uses less digits than its factorization.

355256640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 355256640 is about 18848.2529694399. The cubic root of 355256640 is about 708.2404622262.

The spelling of 355256640 in words is "three hundred fifty-five million, two hundred fifty-six thousand, six hundred forty".