353055040 has 56 divisors (see below), whose sum is σ = 905393160. Its totient is φ = 130357248.

The previous prime is 353054981. The next prime is 353055049. The reversal of 353055040 is 40550353.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 40755456 + 312299584 = 6384^2 + 17672^2 .

It is a super-2 number, since 2×353055040² = 249295722538803200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 353054996 and 353055014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353055049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38275 + ... + 46594.

It is an arithmetic number, because the mean of its divisors is an integer number (16167735).

Almost surely, 2^353055040 is an apocalyptic number.

It is an amenable number.

353055040 is an abundant number, since it is smaller than the sum of its proper divisors (552338120).

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

353055040 is a wasteful number, since it uses less digits than its factorization.

353055040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84899 (or 84889 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 25.

The square root of 353055040 is about 18789.7589127695. The cubic root of 353055040 is about 706.7743912355.

The spelling of 353055040 in words is "three hundred fifty-three million, fifty-five thousand, forty".