354849000 has 128 divisors (see below), whose sum is σ = 1207889280. Its totient is φ = 86016000.

The previous prime is 354848999. The next prime is 354849059. The reversal of 354849000 is 948453.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27624 + ... + 38376.

It is an arithmetic number, because the mean of its divisors is an integer number (9436635).

Almost surely, 2^354849000 is an apocalyptic number.

354849000 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 354849000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603944640).

354849000 is an abundant number, since it is smaller than the sum of its proper divisors (853040280).

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

354849000 is a wasteful number, since it uses less digits than its factorization.

354849000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10788 (or 10774 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 354849000 is about 18837.4361312786. The cubic root of 354849000 is about 707.9694678652.

The spelling of 354849000 in words is "three hundred fifty-four million, eight hundred forty-nine thousand".