354353406 has 64 divisors (see below), whose sum is σ = 838688256. Its totient is φ = 98585600.

The previous prime is 354353393. The next prime is 354353413. The reversal of 354353406 is 604353453.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

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, 42151 + ... + 49853.

It is an arithmetic number, because the mean of its divisors is an integer number (13104504).

Almost surely, 2^354353406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354353406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419344128).

354353406 is an abundant number, since it is smaller than the sum of its proper divisors (484334850).

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

354353406 is a wasteful number, since it uses less digits than its factorization.

354353406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7777.

The product of its (nonzero) digits is 64800, while the sum is 33.

The square root of 354353406 is about 18824.2770379104. The cubic root of 354353406 is about 707.6397230153.

The spelling of 354353406 in words is "three hundred fifty-four million, three hundred fifty-three thousand, four hundred six".