354249400 has 96 divisors (see below), whose sum is σ = 900478080. Its totient is φ = 129024000.

The previous prime is 354249397. The next prime is 354249409. The reversal of 354249400 is 4942453.

354249400 = 251² + 252² + ... + 1025².

It is a happy number.

354249400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×354249400³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354249409) 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, 103720 + ... + 107080.

It is an arithmetic number, because the mean of its divisors is an integer number (9379980).

Almost surely, 2^354249400 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 354249400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450239040).

354249400 is an abundant number, since it is smaller than the sum of its proper divisors (546228680).

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

354249400 is a wasteful number, since it uses less digits than its factorization.

354249400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3425 (or 3416 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 354249400 is about 18821.5142855191. The cubic root of 354249400 is about 707.5704833075.

The spelling of 354249400 in words is "three hundred fifty-four million, two hundred forty-nine thousand, four hundred".