361488960 has 448 divisors, whose sum is σ = 1502054400. Its totient is φ = 80123904.

The previous prime is 361488943. The next prime is 361488977. The reversal of 361488960 is 69884163.

It is an interprime number because it is at equal distance from previous prime (361488943) and next prime (361488977).

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2600571 + ... + 2600709.

It is an arithmetic number, because the mean of its divisors is an integer number (3352800).

Almost surely, 2^361488960 is an apocalyptic number.

361488960 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 361488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751027200).

361488960 is an abundant number, since it is smaller than the sum of its proper divisors (1140565440).

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

361488960 is a wasteful number, since it uses less digits than its factorization.

361488960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 361488960 is about 19012.8630142859. The cubic root of 361488960 is about 712.3580659106.

The spelling of 361488960 in words is "three hundred sixty-one million, four hundred eighty-eight thousand, nine hundred sixty".