354192400 has 45 divisors (see below), whose sum is σ = 851852503. Its totient is φ = 141526400.

The previous prime is 354192373. The next prime is 354192403. The reversal of 354192400 is 4291453.

The square root of 354192400 is 18820.

It is a perfect power (a square), and thus also a powerful number.

354192400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 150544 + 354041856 = 388^2 + 18816^2 .

It is a super-3 number, since 3×354192400³ (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (354192403) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 375930 + ... + 376870.

Almost surely, 2^354192400 is an apocalyptic number.

354192400 is the 18820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354192400

354192400 is an abundant number, since it is smaller than the sum of its proper divisors (497660103).

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

354192400 is an frugal number, since it uses more digits than its factorization.

354192400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1900 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The cubic root of 354192400 is about 707.5325310617.

The spelling of 354192400 in words is "three hundred fifty-four million, one hundred ninety-two thousand, four hundred".