354552000 has 448 divisors, whose sum is σ = 1369405440. Its totient is φ = 79872000.

The previous prime is 354551993. The next prime is 354552043. The reversal of 354552000 is 255453.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4487961 + ... + 4488039.

Almost surely, 2^354552000 is an apocalyptic number.

354552000 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 354552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684702720).

354552000 is an abundant number, since it is smaller than the sum of its proper divisors (1014853440).

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

354552000 is a wasteful number, since it uses less digits than its factorization.

354552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 354552000 is about 18829.5512426611. The cubic root of 354552000 is about 707.7718949802.

The spelling of 354552000 in words is "three hundred fifty-four million, five hundred fifty-two thousand".