354144000 has 576 divisors, whose sum is σ = 1469325312. Its totient is φ = 73728000.

The previous prime is 354143963. The next prime is 354144047. The reversal of 354144000 is 441453.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11423985 + ... + 11424015.

It is an arithmetic number, because the mean of its divisors is an integer number (2550912).

Almost surely, 2^354144000 is an apocalyptic number.

354144000 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 354144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734662656).

354144000 is an abundant number, since it is smaller than the sum of its proper divisors (1115181312).

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

354144000 is a wasteful number, since it uses less digits than its factorization.

354144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 354144000 is about 18818.7140899691. The cubic root of 354144000 is about 707.5003017475.

Adding to 354144000 its reverse (441453), we get a palindrome (354585453).

The spelling of 354144000 in words is "three hundred fifty-four million, one hundred forty-four thousand".