364525840 has 80 divisors (see below), whose sum is σ = 976187520. Its totient is φ = 124001280.

The previous prime is 364525801. The next prime is 364525841. The reversal of 364525840 is 48525463.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 364525840.

It is not an unprimeable number, because it can be changed into a prime (364525841) 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, 70876 + ... + 75844.

It is an arithmetic number, because the mean of its divisors is an integer number (12202344).

Almost surely, 2^364525840 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 364525840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488093760).

364525840 is an abundant number, since it is smaller than the sum of its proper divisors (611661680).

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

364525840 is a wasteful number, since it uses less digits than its factorization.

364525840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5120 (or 5114 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

The square root of 364525840 is about 19092.5598074224. The cubic root of 364525840 is about 714.3473530046.

The spelling of 364525840 in words is "three hundred sixty-four million, five hundred twenty-five thousand, eight hundred forty".