361305420 has 144 divisors (see below), whose sum is σ = 1246220640. Its totient is φ = 77715456.

The previous prime is 361305383. The next prime is 361305421. The reversal of 361305420 is 24503163.

It is a happy number.

It is a super-4 number, since 4×361305420⁴ (a number of 35 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (361305421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46366 + ... + 53594.

It is an arithmetic number, because the mean of its divisors is an integer number (8654310).

Almost surely, 2^361305420 is an apocalyptic number.

361305420 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 361305420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623110320).

361305420 is an abundant number, since it is smaller than the sum of its proper divisors (884915220).

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

361305420 is a wasteful number, since it uses less digits than its factorization.

361305420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7272 (or 7263 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 361305420 is about 19008.0356691585. The cubic root of 361305420 is about 712.2374828517.

Adding to 361305420 its reverse (24503163), we get a palindrome (385808583).

The spelling of 361305420 in words is "three hundred sixty-one million, three hundred five thousand, four hundred twenty".