364489632 has 240 divisors, whose sum is σ = 1197420840. Its totient is φ = 107993088.

The previous prime is 364489613. The next prime is 364489633. The reversal of 364489632 is 236984463.

364489632 is a `hidden beast` number, since 3 + 6 + 4 + 4 + 8 + 9 + 632 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 263607696 + 100881936 = 16236^2 + 10044^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (364489633) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 976998 + ... + 977370.

Almost surely, 2^364489632 is an apocalyptic number.

364489632 is a gapful number since it is divisible by the number (32) 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 364489632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598710420).

364489632 is an abundant number, since it is smaller than the sum of its proper divisors (832931208).

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

364489632 is a wasteful number, since it uses less digits than its factorization.

364489632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 420 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 364489632 is about 19091.6115611019. The cubic root of 364489632 is about 714.3237004103.

The spelling of 364489632 in words is "three hundred sixty-four million, four hundred eighty-nine thousand, six hundred thirty-two".