361598850 has 96 divisors (see below), whose sum is σ = 1012970880. Its totient is φ = 94824000.

The previous prime is 361598843. The next prime is 361598851. The reversal of 361598850 is 58895163.

361598850 is a `hidden beast` number, since 3 + 6 + 1 + 598 + 8 + 50 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 361598796 and 361598805.

It is not an unprimeable number, because it can be changed into a prime (361598851) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80155 + ... + 84545.

It is an arithmetic number, because the mean of its divisors is an integer number (10551780).

Almost surely, 2^361598850 is an apocalyptic number.

361598850 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 361598850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506485440).

361598850 is an abundant number, since it is smaller than the sum of its proper divisors (651372030).

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

361598850 is a wasteful number, since it uses less digits than its factorization.

361598850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4473 (or 4462 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 361598850 is about 19015.7526803437. The cubic root of 361598850 is about 712.4302424781.

The spelling of 361598850 in words is "three hundred sixty-one million, five hundred ninety-eight thousand, eight hundred fifty".