354270000 has 300 divisors, whose sum is σ = 1335866136. Its totient is φ = 80640000.

The previous prime is 354269983. The next prime is 354270001. The reversal of 354270000 is 72453.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-3 number, since 3×354270000³ (a number of 27 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354270001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1469880 + ... + 1470120.

Almost surely, 2^354270000 is an apocalyptic number.

354270000 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 354270000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667933068).

354270000 is an abundant number, since it is smaller than the sum of its proper divisors (981596136).

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

354270000 is a wasteful number, since it uses less digits than its factorization.

354270000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 354270000 is about 18822.0615236483. The cubic root of 354270000 is about 707.5841983808.

The spelling of 354270000 in words is "three hundred fifty-four million, two hundred seventy thousand".