355012840 has 96 divisors (see below), whose sum is σ = 1000739880. Its totient is φ = 112347648.

The previous prime is 355012831. The next prime is 355012849. The reversal of 355012840 is 48210553.

It is an interprime number because it is at equal distance from previous prime (355012831) and next prime (355012849).

It can be written as a sum of positive squares in 4 ways, for example, as 325658116 + 29354724 = 18046^2 + 5418^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 355012799 and 355012808.

It is not an unprimeable number, because it can be changed into a prime (355012849) by changing a digit.

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, 18514 + ... + 32446.

Almost surely, 2^355012840 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 355012840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500369940).

355012840 is an abundant number, since it is smaller than the sum of its proper divisors (645727040).

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

355012840 is a wasteful number, since it uses less digits than its factorization.

355012840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13971 (or 13960 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 355012840 is about 18841.7844165567. The cubic root of 355012840 is about 708.0784117353.

The spelling of 355012840 in words is "three hundred fifty-five million, twelve thousand, eight hundred forty".