354081400 has 48 divisors (see below), whose sum is σ = 825282000. Its totient is φ = 141281280.

The previous prime is 354081391. The next prime is 354081419. The reversal of 354081400 is 4180453.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87829 + ... + 91771.

It is an arithmetic number, because the mean of its divisors is an integer number (17193375).

Almost surely, 2^354081400 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 354081400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412641000).

354081400 is an abundant number, since it is smaller than the sum of its proper divisors (471200600).

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

354081400 is a wasteful number, since it uses less digits than its factorization.

354081400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4408 (or 4399 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 354081400 is about 18817.0507784828. The cubic root of 354081400 is about 707.4586123700.

The spelling of 354081400 in words is "three hundred fifty-four million, eighty-one thousand, four hundred".