354406000 has 160 divisors (see below), whose sum is σ = 947314368. Its totient is φ = 127411200.

The previous prime is 354405967. The next prime is 354406001. The reversal of 354406000 is 604453.

It is a super-2 number, since 2×354406000² = 251207225672000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354406001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1117842 + ... + 1118158.

Almost surely, 2^354406000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473657184).

354406000 is an abundant number, since it is smaller than the sum of its proper divisors (592908368).

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

354406000 is a wasteful number, since it uses less digits than its factorization.

354406000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 354406000 is about 18825.6739587192. The cubic root of 354406000 is about 707.6747311567.

The spelling of 354406000 in words is "three hundred fifty-four million, four hundred six thousand".