364230240 has 192 divisors, whose sum is σ = 1265870592. Its totient is φ = 87296000.

The previous prime is 364230203. The next prime is 364230259. The reversal of 364230240 is 42032463.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 364230240.

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, 532939 + ... + 533621.

It is an arithmetic number, because the mean of its divisors is an integer number (6593076).

Almost surely, 2^364230240 is an apocalyptic number.

364230240 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 364230240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632935296).

364230240 is an abundant number, since it is smaller than the sum of its proper divisors (901640352).

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

364230240 is a wasteful number, since it uses less digits than its factorization.

364230240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 364230240 is about 19084.8170020045. The cubic root of 364230240 is about 714.1542087808.

The spelling of 364230240 in words is "three hundred sixty-four million, two hundred thirty thousand, two hundred forty".