350464320 has 168 divisors, whose sum is σ = 1250374944. Its totient is φ = 93436416.

The previous prime is 350464297. The next prime is 350464343. The reversal of 350464320 is 23464053.

It is an interprime number because it is at equal distance from previous prime (350464297) and next prime (350464343).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75507 + ... + 80013.

It is an arithmetic number, because the mean of its divisors is an integer number (7442708).

Almost surely, 2^350464320 is an apocalyptic number.

350464320 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 350464320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625187472).

350464320 is an abundant number, since it is smaller than the sum of its proper divisors (899910624).

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

350464320 is an equidigital number, since it uses as much as digits as its factorization.

350464320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4539 (or 4517 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 350464320 is about 18720.6922948912. The cubic root of 350464320 is about 705.0413737602.

The spelling of 350464320 in words is "three hundred fifty million, four hundred sixty-four thousand, three hundred twenty".