354241400 has 96 divisors (see below), whose sum is σ = 876238560. Its totient is φ = 132887040.

The previous prime is 354241379. The next prime is 354241403. The reversal of 354241400 is 4142453.

It is a super-3 number, since 3×354241400³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354241403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243074 + ... + 244526.

It is an arithmetic number, because the mean of its divisors is an integer number (9127485).

Almost surely, 2^354241400 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 354241400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438119280).

354241400 is an abundant number, since it is smaller than the sum of its proper divisors (521997160).

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

354241400 is a wasteful number, since it uses less digits than its factorization.

354241400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 354241400 is about 18821.3017615679. The cubic root of 354241400 is about 707.5651569221.

Adding to 354241400 its reverse (4142453), we get a palindrome (358383853).

The spelling of 354241400 in words is "three hundred fifty-four million, two hundred forty-one thousand, four hundred".