364416468 has 48 divisors (see below), whose sum is σ = 921607680. Its totient is φ = 111406464.

The previous prime is 364416413. The next prime is 364416469. The reversal of 364416468 is 864614463.

It is a happy number.

364416468 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364416469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17053 + ... + 31931.

It is an arithmetic number, because the mean of its divisors is an integer number (19200160).

Almost surely, 2^364416468 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 364416468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460803840).

364416468 is an abundant number, since it is smaller than the sum of its proper divisors (557191212).

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

364416468 is a wasteful number, since it uses less digits than its factorization.

364416468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15056 (or 15054 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The square root of 364416468 is about 19089.6953354421. The cubic root of 364416468 is about 714.2759018157.

The spelling of 364416468 in words is "three hundred sixty-four million, four hundred sixteen thousand, four hundred sixty-eight".