351252720 has 320 divisors, whose sum is σ = 1489904640. Its totient is φ = 74068992.

The previous prime is 351252719. The next prime is 351252721. The reversal of 351252720 is 27252153.

It is an interprime number because it is at equal distance from previous prime (351252719) and next prime (351252721).

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

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351252721) 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, 195667 + ... + 197453.

It is an arithmetic number, because the mean of its divisors is an integer number (4655952).

Almost surely, 2^351252720 is an apocalyptic number.

351252720 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 351252720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744952320).

351252720 is an abundant number, since it is smaller than the sum of its proper divisors (1138651920).

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

351252720 is a wasteful number, since it uses less digits than its factorization.

351252720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 351252720 is about 18741.7373794427. The cubic root of 351252720 is about 705.5696617989.

The spelling of 351252720 in words is "three hundred fifty-one million, two hundred fifty-two thousand, seven hundred twenty".