354402000 has 160 divisors (see below), whose sum is σ = 1269740160. Its totient is φ = 94492800.

The previous prime is 354401981. The next prime is 354402007. The reversal of 354402000 is 204453.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354402007) by changing a digit.

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, 50719 + ... + 57281.

It is an arithmetic number, because the mean of its divisors is an integer number (7935876).

Almost surely, 2^354402000 is an apocalyptic number.

354402000 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 354402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634870080).

354402000 is an abundant number, since it is smaller than the sum of its proper divisors (915338160).

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

354402000 is a wasteful number, since it uses less digits than its factorization.

354402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6595 (or 6573 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 354402000 is about 18825.5677205231. The cubic root of 354402000 is about 707.6720687586.

Adding to 354402000 its reverse (204453), we get a palindrome (354606453).

The spelling of 354402000 in words is "three hundred fifty-four million, four hundred two thousand".