361550420 has 108 divisors (see below), whose sum is σ = 971126100. Its totient is φ = 112654080.

The previous prime is 361550401. The next prime is 361550429. The reversal of 361550420 is 24055163.

It can be written as a sum of positive squares in 2 ways, for example, as 79780624 + 281769796 = 8932^2 + 16786^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 361550420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361550429) 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 35 ways as a sum of consecutive naturals, for example, 117056 + ... + 120104.

Almost surely, 2^361550420 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 361550420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485563050).

361550420 is an abundant number, since it is smaller than the sum of its proper divisors (609575680).

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

361550420 is a wasteful number, since it uses less digits than its factorization.

361550420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3094 (or 3074 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 361550420 is about 19014.4792197946. The cubic root of 361550420 is about 712.3984350971.

The spelling of 361550420 in words is "three hundred sixty-one million, five hundred fifty thousand, four hundred twenty".