361433000 has 32 divisors (see below), whose sum is σ = 845755560. Its totient is φ = 144572800.

The previous prime is 361432987. The next prime is 361433011. The reversal of 361433000 is 334163.

It can be written as a sum of positive squares in 4 ways, for example, as 125933284 + 235499716 = 11222^2 + 15346^2 .

It is a super-3 number, since 3×361433000³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 179717 + ... + 181716.

Almost surely, 2^361433000 is an apocalyptic number.

It is an amenable number.

361433000 is an abundant number, since it is smaller than the sum of its proper divisors (484322560).

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

361433000 is a wasteful number, since it uses less digits than its factorization.

361433000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361454 (or 361440 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 361433000 is about 19011.3913220469. The cubic root of 361433000 is about 712.3213053462.

Adding to 361433000 its reverse (334163), we get a palindrome (361767163).

The spelling of 361433000 in words is "three hundred sixty-one million, four hundred thirty-three thousand".