354042400 has 72 divisors (see below), whose sum is σ = 867694464. Its totient is φ = 141062400.

The previous prime is 354042383. The next prime is 354042407. The reversal of 354042400 is 4240453.

It is a happy number.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (354042407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 248089 + ... + 249511.

It is an arithmetic number, because the mean of its divisors is an integer number (12051312).

Almost surely, 2^354042400 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 354042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433847232).

354042400 is an abundant number, since it is smaller than the sum of its proper divisors (513652064).

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

354042400 is a wasteful number, since it uses less digits than its factorization.

354042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754 (or 1741 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 354042400 is about 18816.0144557768. The cubic root of 354042400 is about 707.4326372703.

Adding to 354042400 its reverse (4240453), we get a palindrome (358282853).

The spelling of 354042400 in words is "three hundred fifty-four million, forty-two thousand, four hundred".