350408160 has 192 divisors, whose sum is σ = 1269172800. Its totient is φ = 90187776.

The previous prime is 350408147. The next prime is 350408183. The reversal of 350408160 is 61804053.

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 31 ways as a sum of consecutive naturals, for example, 123882 + ... + 126678.

It is an arithmetic number, because the mean of its divisors is an integer number (6610275).

Almost surely, 2^350408160 is an apocalyptic number.

350408160 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 350408160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634586400).

350408160 is an abundant number, since it is smaller than the sum of its proper divisors (918764640).

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

350408160 is a wasteful number, since it uses less digits than its factorization.

350408160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2850 (or 2836 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 350408160 is about 18719.1922902672. The cubic root of 350408160 is about 705.0037120674.

The spelling of 350408160 in words is "three hundred fifty million, four hundred eight thousand, one hundred sixty".