361294080 has 144 divisors (see below), whose sum is σ = 1318821504. Its totient is φ = 82575360.

The previous prime is 361294067. The next prime is 361294133. The reversal of 361294080 is 80492163.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20160 + ... + 33600.

Almost surely, 2^361294080 is an apocalyptic number.

361294080 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 361294080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659410752).

361294080 is an abundant number, since it is smaller than the sum of its proper divisors (957527424).

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

361294080 is a wasteful number, since it uses less digits than its factorization.

361294080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13472 (or 13458 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 361294080 is about 19007.7373719230. The cubic root of 361294080 is about 712.2300313004.

The spelling of 361294080 in words is "three hundred sixty-one million, two hundred ninety-four thousand, eighty".