350904960 has 320 divisors, whose sum is σ = 1433646720. Its totient is φ = 80123904.

The previous prime is 350904949. The next prime is 350904971. The reversal of 350904960 is 69409053.

It is an interprime number because it is at equal distance from previous prime (350904949) and next prime (350904971).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 362397 + ... + 363363.

It is an arithmetic number, because the mean of its divisors is an integer number (4480146).

Almost surely, 2^350904960 is an apocalyptic number.

350904960 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 350904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716823360).

350904960 is an abundant number, since it is smaller than the sum of its proper divisors (1082741760).

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

350904960 is an equidigital number, since it uses as much as digits as its factorization.

350904960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 350904960 is about 18732.4573935189. The cubic root of 350904960 is about 705.3367336605.

The spelling of 350904960 in words is "three hundred fifty million, nine hundred four thousand, nine hundred sixty".