354806400 has 192 divisors, whose sum is σ = 1258981920. Its totient is φ = 87306240.

The previous prime is 354806369. The next prime is 354806401. The reversal of 354806400 is 4608453.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (354806401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123379 + ... + 126221.

Almost surely, 2^354806400 is an apocalyptic number.

354806400 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 354806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629490960).

354806400 is an abundant number, since it is smaller than the sum of its proper divisors (904175520).

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

354806400 is a wasteful number, since it uses less digits than its factorization.

354806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2883 (or 2866 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 354806400 is about 18836.3053702153. The cubic root of 354806400 is about 707.9411359022.

The spelling of 354806400 in words is "three hundred fifty-four million, eight hundred six thousand, four hundred".