350580420 has 192 divisors, whose sum is σ = 1149926400. Its totient is φ = 88542720.

The previous prime is 350580413. The next prime is 350580427. The reversal of 350580420 is 24085053.

It is an interprime number because it is at equal distance from previous prime (350580413) and next prime (350580427).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350580427) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 955077 + ... + 955443.

It is an arithmetic number, because the mean of its divisors is an integer number (5989200).

Almost surely, 2^350580420 is an apocalyptic number.

350580420 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 350580420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574963200).

350580420 is an abundant number, since it is smaller than the sum of its proper divisors (799345980).

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

350580420 is a wasteful number, since it uses less digits than its factorization.

350580420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 350580420 is about 18723.7928849899. The cubic root of 350580420 is about 705.1192193131.

The spelling of 350580420 in words is "three hundred fifty million, five hundred eighty thousand, four hundred twenty".