354240000 has 400 divisors, whose sum is σ = 1342257840. Its totient is φ = 92160000.

The previous prime is 354239989. The next prime is 354240001. The reversal of 354240000 is 42453.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-3 number, since 3×354240000³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354240001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8639980 + ... + 8640020.

Almost surely, 2^354240000 is an apocalyptic number.

354240000 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 354240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671128920).

354240000 is an abundant number, since it is smaller than the sum of its proper divisors (988017840).

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

354240000 is an frugal number, since it uses more digits than its factorization.

354240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 354240000 is about 18821.2645696297. The cubic root of 354240000 is about 707.5642247964.

Adding to 354240000 its reverse (42453), we get a palindrome (354282453).

The spelling of 354240000 in words is "three hundred fifty-four million, two hundred forty thousand".