354130400 has 144 divisors (see below), whose sum is σ = 986280624. Its totient is φ = 123002880.

The previous prime is 354130393. The next prime is 354130433. The reversal of 354130400 is 4031453.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175799 + ... + 177801.

It is an arithmetic number, because the mean of its divisors is an integer number (6849171).

Almost surely, 2^354130400 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 354130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493140312).

354130400 is an abundant number, since it is smaller than the sum of its proper divisors (632150224).

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

354130400 is a wasteful number, since it uses less digits than its factorization.

354130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2053 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 354130400 is about 18818.3527440634. The cubic root of 354130400 is about 707.4912450481.

Adding to 354130400 its reverse (4031453), we get a palindrome (358161853).

The spelling of 354130400 in words is "three hundred fifty-four million, one hundred thirty thousand, four hundred".