354470400 has 360 divisors, whose sum is σ = 1350593244. Its totient is φ = 88473600.

The previous prime is 354470353. The next prime is 354470419. The reversal of 354470400 is 4074453.

It can be written as a sum of positive squares in 6 ways, for example, as 67371264 + 287099136 = 8208^2 + 16944^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1958310 + ... + 1958490.

Almost surely, 2^354470400 is an apocalyptic number.

354470400 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 354470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675296622).

354470400 is an abundant number, since it is smaller than the sum of its proper divisors (996122844).

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

354470400 is a wasteful number, since it uses less digits than its factorization.

354470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 354470400 is about 18827.3843111570. The cubic root of 354470400 is about 707.7175930086.

The spelling of 354470400 in words is "three hundred fifty-four million, four hundred seventy thousand, four hundred".