354384500 has 96 divisors (see below), whose sum is σ = 809512704. Its totient is φ = 135408000.

The previous prime is 354384497. The next prime is 354384517. The reversal of 354384500 is 5483453.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1139345 + ... + 1139655.

It is an arithmetic number, because the mean of its divisors is an integer number (8432424).

Almost surely, 2^354384500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354384500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404756352).

354384500 is an abundant number, since it is smaller than the sum of its proper divisors (455128204).

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

354384500 is a wasteful number, since it uses less digits than its factorization.

354384500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 354384500 is about 18825.1029213654. The cubic root of 354384500 is about 707.6604205314.

The spelling of 354384500 in words is "three hundred fifty-four million, three hundred eighty-four thousand, five hundred".