361644480 has 224 divisors, whose sum is σ = 1343558400. Its totient is φ = 91321344.

The previous prime is 361644463. The next prime is 361644497. The reversal of 361644480 is 84446163.

361644480 is a `hidden beast` number, since 3 + 6 + 1 + 644 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (361644463) and next prime (361644497).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163059 + ... + 165261.

Almost surely, 2^361644480 is an apocalyptic number.

361644480 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 361644480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671779200).

361644480 is an abundant number, since it is smaller than the sum of its proper divisors (981913920).

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

361644480 is a wasteful number, since it uses less digits than its factorization.

361644480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2248 (or 2232 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 361644480 is about 19016.9524372335. The cubic root of 361644480 is about 712.4602083041.

The spelling of 361644480 in words is "three hundred sixty-one million, six hundred forty-four thousand, four hundred eighty".