364479752 has 64 divisors (see below), whose sum is σ = 843964800. Its totient is φ = 143700480.

The previous prime is 364479751. The next prime is 364479763. The reversal of 364479752 is 257974463.

It is a super-3 number, since 3×364479752³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 364479697 and 364479706.

It is not an unprimeable number, because it can be changed into a prime (364479751) 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, 275252 + ... + 276572.

It is an arithmetic number, because the mean of its divisors is an integer number (13186950).

Almost surely, 2^364479752 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 364479752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421982400).

364479752 is an abundant number, since it is smaller than the sum of its proper divisors (479485048).

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

364479752 is a wasteful number, since it uses less digits than its factorization.

364479752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726 (or 1722 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 47.

The square root of 364479752 is about 19091.3528069647. The cubic root of 364479752 is about 714.3172461052.

The spelling of 364479752 in words is "three hundred sixty-four million, four hundred seventy-nine thousand, seven hundred fifty-two".