364430440 has 64 divisors (see below), whose sum is σ = 898128000. Its totient is φ = 131984640.

The previous prime is 364430387. The next prime is 364430447. The reversal of 364430440 is 44034463.

It is a junction number, because it is equal to n+sod(n) for n = 364430399 and 364430408.

It is not an unprimeable number, because it can be changed into a prime (364430447) 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 15 ways as a sum of consecutive naturals, for example, 116821 + ... + 119899.

It is an arithmetic number, because the mean of its divisors is an integer number (14033250).

Almost surely, 2^364430440 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 364430440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449064000).

364430440 is an abundant number, since it is smaller than the sum of its proper divisors (533697560).

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

364430440 is a wasteful number, since it uses less digits than its factorization.

364430440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3370 (or 3366 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

The square root of 364430440 is about 19090.0612885344. The cubic root of 364430440 is about 714.2850303232.

The spelling of 364430440 in words is "three hundred sixty-four million, four hundred thirty thousand, four hundred forty".