354056400 has 120 divisors (see below), whose sum is σ = 1260216960. Its totient is φ = 94412160.

The previous prime is 354056387. The next prime is 354056401. The reversal of 354056400 is 4650453.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354056401) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5592 + ... + 27191.

It is an arithmetic number, because the mean of its divisors is an integer number (10501808).

Almost surely, 2^354056400 is an apocalyptic number.

354056400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354056400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630108480).

354056400 is an abundant number, since it is smaller than the sum of its proper divisors (906160560).

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

354056400 is a wasteful number, since it uses less digits than its factorization.

354056400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32810 (or 32793 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 354056400 is about 18816.3864756228. The cubic root of 354056400 is about 707.4419618845.

The spelling of 354056400 in words is "three hundred fifty-four million, fifty-six thousand, four hundred".