354400112 has 40 divisors (see below), whose sum is σ = 756527472. Its totient is φ = 159488000.

The previous prime is 354400087. The next prime is 354400117. The reversal of 354400112 is 211004453.

It is a super-2 number, since 2×354400112² = 251198878771225088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354400117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7808 + ... + 27744.

Almost surely, 2^354400112 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 354400112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378263736).

354400112 is an abundant number, since it is smaller than the sum of its proper divisors (402127360).

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

354400112 is a wasteful number, since it uses less digits than its factorization.

354400112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20057 (or 20051 counting only the distinct ones).

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

The square root of 354400112 is about 18825.5175758862. The cubic root of 354400112 is about 707.6708120997.

Adding to 354400112 its reverse (211004453), we get a palindrome (565404565).

The spelling of 354400112 in words is "three hundred fifty-four million, four hundred thousand, one hundred twelve".