354720800 has 108 divisors (see below), whose sum is σ = 1007455050. Its totient is φ = 121605120.

The previous prime is 354720749. The next prime is 354720809. The reversal of 354720800 is 8027453.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 312158224 + 42562576 = 17668^2 + 6524^2 .

It is not an unprimeable number, because it can be changed into a prime (354720809) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 34676 + ... + 43724.

Almost surely, 2^354720800 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 354720800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503727525).

354720800 is an abundant number, since it is smaller than the sum of its proper divisors (652734250).

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

354720800 is a wasteful number, since it uses less digits than its factorization.

354720800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9083 (or 9063 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 354720800 is about 18834.0330253507. The cubic root of 354720800 is about 707.8841990907.

The spelling of 354720800 in words is "three hundred fifty-four million, seven hundred twenty thousand, eight hundred".