364141020 has 96 divisors (see below), whose sum is σ = 1093478400. Its totient is φ = 90215424.

The previous prime is 364140977. The next prime is 364141039. The reversal of 364141020 is 20141463.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78321 + ... + 82839.

It is an arithmetic number, because the mean of its divisors is an integer number (11390400).

Almost surely, 2^364141020 is an apocalyptic number.

364141020 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 364141020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546739200).

364141020 is an abundant number, since it is smaller than the sum of its proper divisors (729337380).

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

364141020 is a wasteful number, since it uses less digits than its factorization.

364141020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4627 (or 4625 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 364141020 is about 19082.4793986526. The cubic root of 364141020 is about 714.0958921495.

Adding to 364141020 its reverse (20141463), we get a palindrome (384282483).

The spelling of 364141020 in words is "three hundred sixty-four million, one hundred forty-one thousand, twenty".