364400800 has 72 divisors (see below), whose sum is σ = 893310012. Its totient is φ = 145152000.

The previous prime is 364400783. The next prime is 364400809. The reversal of 364400800 is 8004463.

It can be written as a sum of positive squares in 6 ways, for example, as 214681104 + 149719696 = 14652^2 + 12236^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (364400809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 223990 + ... + 225610.

Almost surely, 2^364400800 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 364400800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446655006).

364400800 is an abundant number, since it is smaller than the sum of its proper divisors (528909212).

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

364400800 is a wasteful number, since it uses less digits than its factorization.

364400800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1922 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 364400800 is about 19089.2849525591. The cubic root of 364400800 is about 714.2656649610.

The spelling of 364400800 in words is "three hundred sixty-four million, four hundred thousand, eight hundred".