350505420 has 48 divisors (see below), whose sum is σ = 987463680. Its totient is φ = 92892096.

The previous prime is 350505413. The next prime is 350505443. The reversal of 350505420 is 24505053.

350505420 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×350505420³ (a number of 27 digits) contains 333 as substring.

350505420 is strictly pandigital in base 9.

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 15 ways as a sum of consecutive naturals, for example, 8140 + ... + 27699.

It is an arithmetic number, because the mean of its divisors is an integer number (20572160).

Almost surely, 2^350505420 is an apocalyptic number.

350505420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

350505420 is an abundant number, since it is smaller than the sum of its proper divisors (636958260).

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

350505420 is a wasteful number, since it uses less digits than its factorization.

350505420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36014 (or 36012 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 350505420 is about 18721.7899785250. The cubic root of 350505420 is about 705.0689334538.

It can be divided in two parts, 35050 and 5420, that added together give a triangular number (40470 = T₂₈₄).

The spelling of 350505420 in words is "three hundred fifty million, five hundred five thousand, four hundred twenty".