361478880 has 432 divisors, whose sum is σ = 1478917440. Its totient is φ = 80123904.

The previous prime is 361478867. The next prime is 361478893. The reversal of 361478880 is 88874163.

It is an interprime number because it is at equal distance from previous prime (361478867) and next prime (361478893).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3316266 + ... + 3316374.

It is an arithmetic number, because the mean of its divisors is an integer number (3423420).

Almost surely, 2^361478880 is an apocalyptic number.

361478880 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 361478880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739458720).

361478880 is an abundant number, since it is smaller than the sum of its proper divisors (1117438560).

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

361478880 is a wasteful number, since it uses less digits than its factorization.

361478880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 361478880 is about 19012.5979287419. The cubic root of 361478880 is about 712.3514445594.

The spelling of 361478880 in words is "three hundred sixty-one million, four hundred seventy-eight thousand, eight hundred eighty".