351283920 has 320 divisors, whose sum is σ = 1282417920. Its totient is φ = 78741504.

The previous prime is 351283901. The next prime is 351283927. The reversal of 351283920 is 29382153.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351283927) 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, 1962391 + ... + 1962569.

It is an arithmetic number, because the mean of its divisors is an integer number (4007556).

Almost surely, 2^351283920 is an apocalyptic number.

351283920 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 351283920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641208960).

351283920 is an abundant number, since it is smaller than the sum of its proper divisors (931134000).

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

351283920 is a wasteful number, since it uses less digits than its factorization.

351283920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 351283920 is about 18742.5697277615. The cubic root of 351283920 is about 705.5905519068.

The spelling of 351283920 in words is "three hundred fifty-one million, two hundred eighty-three thousand, nine hundred twenty".