351309420 has 576 divisors, whose sum is σ = 1489259520. Its totient is φ = 67737600.

The previous prime is 351309379. The next prime is 351309457. The reversal of 351309420 is 24903153.

351309420 is a `hidden beast` number, since 351 + 309 + 4 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4947985 + ... + 4948055.

It is an arithmetic number, because the mean of its divisors is an integer number (2585520).

Almost surely, 2^351309420 is an apocalyptic number.

351309420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

351309420 is the 9372-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 351309420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744629760).

351309420 is an abundant number, since it is smaller than the sum of its proper divisors (1137950100).

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

351309420 is a wasteful number, since it uses less digits than its factorization.

351309420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 351309420 is about 18743.2499849946. The cubic root of 351309420 is about 705.6076246342.

The spelling of 351309420 in words is "three hundred fifty-one million, three hundred nine thousand, four hundred twenty".