354805416 has 96 divisors (see below), whose sum is σ = 1133683200. Its totient is φ = 98098560.

The previous prime is 354805403. The next prime is 354805421. The reversal of 354805416 is 614508453.

It is a happy number.

354805416 is a `hidden beast` number, since 35 + 4 + 80 + 541 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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, 4270 + ... + 26978.

It is an arithmetic number, because the mean of its divisors is an integer number (11809200).

Almost surely, 2^354805416 is an apocalyptic number.

354805416 is a gapful number since it is divisible by the number (36) 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 354805416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566841600).

354805416 is an abundant number, since it is smaller than the sum of its proper divisors (778877784).

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

354805416 is a wasteful number, since it uses less digits than its factorization.

354805416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22759 (or 22752 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 354805416 is about 18836.2792504252. The cubic root of 354805416 is about 707.9404814469.

The spelling of 354805416 in words is "three hundred fifty-four million, eight hundred five thousand, four hundred sixteen".