361484424 has 128 divisors (see below), whose sum is σ = 1208064000. Its totient is φ = 97837632.

The previous prime is 361484423. The next prime is 361484429. The reversal of 361484424 is 424484163.

It is a super-2 number, since 2×361484424² = 261341977589223552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (361484423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22437 + ... + 35019.

It is an arithmetic number, because the mean of its divisors is an integer number (9438000).

Almost surely, 2^361484424 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 361484424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604032000).

361484424 is an abundant number, since it is smaller than the sum of its proper divisors (846579576).

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

361484424 is a wasteful number, since it uses less digits than its factorization.

361484424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12624 (or 12614 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 361484424 is about 19012.7437262485. The cubic root of 361484424 is about 712.3550863178.

The spelling of 361484424 in words is "three hundred sixty-one million, four hundred eighty-four thousand, four hundred twenty-four".