354980160 has 252 divisors, whose sum is σ = 1281856212. Its totient is φ = 90157056.

The previous prime is 354980147. The next prime is 354980177. The reversal of 354980160 is 61089453.

354980160 is a `hidden beast` number, since 3 + 5 + 498 + 0 + 160 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 98724096 + 256256064 = 9936^2 + 16008^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1523404 + ... + 1523636.

It is an arithmetic number, because the mean of its divisors is an integer number (5086731).

Almost surely, 2^354980160 is an apocalyptic number.

354980160 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 354980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640928106).

354980160 is an abundant number, since it is smaller than the sum of its proper divisors (926876052).

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

354980160 is a wasteful number, since it uses less digits than its factorization.

354980160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 354980160 is about 18840.9171751271. The cubic root of 354980160 is about 708.0566841526.

The spelling of 354980160 in words is "three hundred fifty-four million, nine hundred eighty thousand, one hundred sixty".