354480000 has 320 divisors, whose sum is σ = 1351067520. Its totient is φ = 80640000.

The previous prime is 354479999. The next prime is 354480011. The reversal of 354480000 is 84453.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1679895 + ... + 1680105.

It is an arithmetic number, because the mean of its divisors is an integer number (4222086).

Almost surely, 2^354480000 is an apocalyptic number.

354480000 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 354480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675533760).

354480000 is an abundant number, since it is smaller than the sum of its proper divisors (996587520).

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

354480000 is an equidigital number, since it uses as much as digits as its factorization.

354480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 354480000 is about 18827.6392572197. The cubic root of 354480000 is about 707.7239819084.

The spelling of 354480000 in words is "three hundred fifty-four million, four hundred eighty thousand".