364458640 has 120 divisors (see below), whose sum is σ = 1048915008. Its totient is φ = 115315200.

The previous prime is 364458623. The next prime is 364458643. The reversal of 364458640 is 46854463.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 364458593 and 364458602.

It is not an unprimeable number, because it can be changed into a prime (364458643) 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 23 ways as a sum of consecutive naturals, for example, 92715 + ... + 96565.

Almost surely, 2^364458640 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 364458640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524457504).

364458640 is an abundant number, since it is smaller than the sum of its proper divisors (684456368).

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

364458640 is a wasteful number, since it uses less digits than its factorization.

364458640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3897 (or 3878 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 40.

The square root of 364458640 is about 19090.7998784755. The cubic root of 364458640 is about 714.3034538832.

The spelling of 364458640 in words is "three hundred sixty-four million, four hundred fifty-eight thousand, six hundred forty".