363042000 has 320 divisors, whose sum is σ = 1332414720. Its totient is φ = 95644800.

The previous prime is 363041999. The next prime is 363042011. The reversal of 363042000 is 240363.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4373959 + ... + 4374041.

It is an arithmetic number, because the mean of its divisors is an integer number (4163796).

Almost surely, 2^363042000 is an apocalyptic number.

363042000 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 363042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666207360).

363042000 is an abundant number, since it is smaller than the sum of its proper divisors (969372720).

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

363042000 is an frugal number, since it uses more digits than its factorization.

363042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 363042000 is about 19053.6610655275. The cubic root of 363042000 is about 713.3767600041.

Adding to 363042000 its reverse (240363), we get a palindrome (363282363).

The spelling of 363042000 in words is "three hundred sixty-three million, forty-two thousand".