361501540 has 48 divisors (see below), whose sum is σ = 791852544. Its totient is φ = 138470400.

The previous prime is 361501531. The next prime is 361501579. The reversal of 361501540 is 45105163.

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, 57135 + ... + 63145.

It is an arithmetic number, because the mean of its divisors is an integer number (16496928).

Almost surely, 2^361501540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361501540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395926272).

361501540 is an abundant number, since it is smaller than the sum of its proper divisors (430351004).

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

361501540 is a wasteful number, since it uses less digits than its factorization.

361501540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6148 (or 6146 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 361501540 is about 19013.1938400680. The cubic root of 361501540 is about 712.3663292893.

The spelling of 361501540 in words is "three hundred sixty-one million, five hundred one thousand, five hundred forty".