364770120 has 256 divisors, whose sum is σ = 1331769600. Its totient is φ = 78704640.

The previous prime is 364770101. The next prime is 364770127. The reversal of 364770120 is 21077463.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (364770127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 497274 + ... + 498006.

It is an arithmetic number, because the mean of its divisors is an integer number (5202225).

Almost surely, 2^364770120 is an apocalyptic number.

364770120 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 364770120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665884800).

364770120 is an abundant number, since it is smaller than the sum of its proper divisors (966999480).

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

364770120 is a wasteful number, since it uses less digits than its factorization.

364770120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 364770120 is about 19098.9559924096. The cubic root of 364770120 is about 714.5068860996.

The spelling of 364770120 in words is "three hundred sixty-four million, seven hundred seventy thousand, one hundred twenty".