355012020 has 288 divisors, whose sum is σ = 1273708800. Its totient is φ = 79073280.

The previous prime is 355012001. The next prime is 355012069. The reversal of 355012020 is 20210553.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 355011984 and 355012002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1783881 + ... + 1784079.

It is an arithmetic number, because the mean of its divisors is an integer number (4422600).

Almost surely, 2^355012020 is an apocalyptic number.

355012020 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 355012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636854400).

355012020 is an abundant number, since it is smaller than the sum of its proper divisors (918696780).

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

355012020 is a wasteful number, since it uses less digits than its factorization.

355012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 355012020 is about 18841.7626563971. The cubic root of 355012020 is about 708.0778665675.

Adding to 355012020 its reverse (20210553), we get a palindrome (375222573).

The spelling of 355012020 in words is "three hundred fifty-five million, twelve thousand, twenty".