354211400 has 24 divisors (see below), whose sum is σ = 823541970. Its totient is φ = 141684480.

The previous prime is 354211387. The next prime is 354211441. The reversal of 354211400 is 4112453.

It can be written as a sum of positive squares in 3 ways, for example, as 227828836 + 126382564 = 15094^2 + 11242^2 .

It is a super-3 number, since 3×354211400³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 885329 + ... + 885728.

Almost surely, 2^354211400 is an apocalyptic number.

It is an amenable number.

354211400 is an abundant number, since it is smaller than the sum of its proper divisors (469330570).

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

354211400 is a wasteful number, since it uses less digits than its factorization.

354211400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771073 (or 1771064 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 354211400 is about 18820.5047753773. The cubic root of 354211400 is about 707.5451822627.

Adding to 354211400 its reverse (4112453), we get a palindrome (358323853).

The spelling of 354211400 in words is "three hundred fifty-four million, two hundred eleven thousand, four hundred".