363122420 has 18 divisors (see below), whose sum is σ = 762736086. Its totient is φ = 145214880.

The previous prime is 363122411. The next prime is 363122429. The reversal of 363122420 is 24221363.

It is an interprime number because it is at equal distance from previous prime (363122411) and next prime (363122429).

It can be written as a sum of positive squares in 3 ways, for example, as 230918416 + 132204004 = 15196^2 + 11498^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363122429) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 83090 + ... + 87350.

It is an arithmetic number, because the mean of its divisors is an integer number (42374227).

Almost surely, 2^363122420 is an apocalyptic number.

It is an amenable number.

363122420 is an abundant number, since it is smaller than the sum of its proper divisors (399613666).

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

363122420 is an frugal number, since it uses more digits than its factorization.

363122420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8531 (or 4268 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 363122420 is about 19055.7713042532. The cubic root of 363122420 is about 713.4294311582.

Adding to 363122420 its reverse (24221363), we get a palindrome (387343783).

The spelling of 363122420 in words is "three hundred sixty-three million, one hundred twenty-two thousand, four hundred twenty".