354522000 has 320 divisors, whose sum is σ = 1366769664. Its totient is φ = 77299200.

The previous prime is 354521941. The next prime is 354522011. The reversal of 354522000 is 225453.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 965817 + ... + 966183.

Almost surely, 2^354522000 is an apocalyptic number.

354522000 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 354522000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683384832).

354522000 is an abundant number, since it is smaller than the sum of its proper divisors (1012247664).

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

354522000 is a wasteful number, since it uses less digits than its factorization.

354522000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 354522000 is about 18828.7546056557. The cubic root of 354522000 is about 707.7519319887.

Adding to 354522000 its reverse (225453), we get a palindrome (354747453).

The spelling of 354522000 in words is "three hundred fifty-four million, five hundred twenty-two thousand".