364546980 has 480 divisors, whose sum is σ = 1451907072. Its totient is φ = 74649600.

The previous prime is 364546969. The next prime is 364546981. The reversal of 364546980 is 89645463.

364546980 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (364546981) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5976150 + ... + 5976210.

Almost surely, 2^364546980 is an apocalyptic number.

364546980 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 364546980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725953536).

364546980 is an abundant number, since it is smaller than the sum of its proper divisors (1087360092).

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

364546980 is a wasteful number, since it uses less digits than its factorization.

364546980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 364546980 is about 19093.1134181935. The cubic root of 364546980 is about 714.3611618209.

It can be divided in two parts, 36454 and 6980, that added together give a palindrome (43434).

The spelling of 364546980 in words is "three hundred sixty-four million, five hundred forty-six thousand, nine hundred eighty".