361000440 has 192 divisors, whose sum is σ = 1263936960. Its totient is φ = 89026560.

The previous prime is 361000429. The next prime is 361000441. The reversal of 361000440 is 44000163.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361000441) 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, 372837 + ... + 373803.

It is an arithmetic number, because the mean of its divisors is an integer number (6583005).

Almost surely, 2^361000440 is an apocalyptic number.

361000440 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 361000440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631968480).

361000440 is an abundant number, since it is smaller than the sum of its proper divisors (902936520).

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

361000440 is a wasteful number, since it uses less digits than its factorization.

361000440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 361000440 is about 19000.0115789438. The cubic root of 361000440 is about 712.0370251756.

The spelling of 361000440 in words is "three hundred sixty-one million, four hundred forty", and thus it is an aban number.