353049840 has 480 divisors, whose sum is σ = 1455906816. Its totient is φ = 78382080.

The previous prime is 353049821. The next prime is 353049841. The reversal of 353049840 is 48940353.

353049840 is a `hidden beast` number, since 3 + 530 + 49 + 84 + 0 = 666.

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 = 353049795 and 353049804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353049841) by changing a digit.

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, 2779857 + ... + 2779983.

Almost surely, 2^353049840 is an apocalyptic number.

353049840 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 353049840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727953408).

353049840 is an abundant number, since it is smaller than the sum of its proper divisors (1102856976).

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

353049840 is a wasteful number, since it uses less digits than its factorization.

353049840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 353049840 is about 18789.6205390104. The cubic root of 353049840 is about 706.7709212904.

The spelling of 353049840 in words is "three hundred fifty-three million, forty-nine thousand, eight hundred forty".