354414400 has 42 divisors (see below), whose sum is σ = 872084870. Its totient is φ = 141765120.

The previous prime is 354414377. The next prime is 354414407. The reversal of 354414400 is 4414453.

It can be written as a sum of positive squares in 3 ways, for example, as 8156736 + 346257664 = 2856^2 + 18608^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354414407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 109155 + ... + 112354.

Almost surely, 2^354414400 is an apocalyptic number.

It is an amenable number.

354414400 is an abundant number, since it is smaller than the sum of its proper divisors (517670470).

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

354414400 is a wasteful number, since it uses less digits than its factorization.

354414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221531 (or 221516 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 354414400 is about 18825.8970569798. The cubic root of 354414400 is about 707.6803221275.

Adding to 354414400 its reverse (4414453), we get a palindrome (358828853).

The spelling of 354414400 in words is "three hundred fifty-four million, four hundred fourteen thousand, four hundred".