361954000 has 80 divisors (see below), whose sum is σ = 882260496. Its totient is φ = 143616000.

The previous prime is 361953983. The next prime is 361954001. The reversal of 361954000 is 459163.

361954000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 33039504 + 328914496 = 5748^2 + 18136^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 361954000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (361954001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273340 + ... + 274660.

Almost surely, 2^361954000 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 361954000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441130248).

361954000 is an abundant number, since it is smaller than the sum of its proper divisors (520306496).

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

361954000 is a wasteful number, since it uses less digits than its factorization.

361954000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 361954000 is about 19025.0886988734. The cubic root of 361954000 is about 712.6634076832.

The spelling of 361954000 in words is "three hundred sixty-one million, nine hundred fifty-four thousand".