364669440 has 160 divisors (see below), whose sum is σ = 1179674496. Its totient is φ = 96092160.

The previous prime is 364669427. The next prime is 364669441. The reversal of 364669440 is 44966463.

364669440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 364669392 and 364669401.

It is not an unprimeable number, because it can be changed into a prime (364669441) 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, 790810 + ... + 791270.

Almost surely, 2^364669440 is an apocalyptic number.

364669440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 364669440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589837248).

364669440 is an abundant number, since it is smaller than the sum of its proper divisors (815005056).

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

364669440 is a wasteful number, since it uses less digits than its factorization.

364669440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

The square root of 364669440 is about 19096.3200643475. The cubic root of 364669440 is about 714.4411431666.

The spelling of 364669440 in words is "three hundred sixty-four million, six hundred sixty-nine thousand, four hundred forty".