361609248 has 384 divisors, whose sum is σ = 1316818944. Its totient is φ = 83865600.

The previous prime is 361609229. The next prime is 361609249. The reversal of 361609248 is 842906163.

It is a super-2 number, since 2×361609248² = 261522496478251008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (361609249) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5093053 + ... + 5093123.

It is an arithmetic number, because the mean of its divisors is an integer number (3429216).

Almost surely, 2^361609248 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 361609248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658409472).

361609248 is an abundant number, since it is smaller than the sum of its proper divisors (955209696).

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

361609248 is a wasteful number, since it uses less digits than its factorization.

361609248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 361609248 is about 19016.0260832804. The cubic root of 361609248 is about 712.4370712043.

The spelling of 361609248 in words is "three hundred sixty-one million, six hundred nine thousand, two hundred forty-eight".