363420800 has 72 divisors (see below), whose sum is σ = 900434835. Its totient is φ = 144936960.

The previous prime is 363420793. The next prime is 363420803. The reversal of 363420800 is 8024363.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 56190016 + 307230784 = 7496^2 + 17528^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=13480.

It is a self number, because there is not a number n which added to its sum of digits gives 363420800.

It is not an unprimeable number, because it can be changed into a prime (363420803) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1078232 + ... + 1078568.

Almost surely, 2^363420800 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 363420800

363420800 is an abundant number, since it is smaller than the sum of its proper divisors (537014035).

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

363420800 is an frugal number, since it uses more digits than its factorization.

363420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 363420800 is about 19063.5988207893. The cubic root of 363420800 is about 713.6247874918.

The spelling of 363420800 in words is "three hundred sixty-three million, four hundred twenty thousand, eight hundred".