36000460 has 48 divisors (see below), whose sum is σ = 79323552. Its totient is φ = 13708800.

The previous prime is 36000439. The next prime is 36000463. The reversal of 36000460 is 6400063.

36000460 = T₁₉₇ + T₁₉₈ + ... + T₆₀₆.

It is a happy number.

36000460 is nontrivially palindromic in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36000463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34750 + ... + 35770.

It is an arithmetic number, because the mean of its divisors is an integer number (1652574).

Almost surely, 2^36000460 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 36000460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39661776).

36000460 is an abundant number, since it is smaller than the sum of its proper divisors (43323092).

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

36000460 is a wasteful number, since it uses less digits than its factorization.

36000460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1114 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 36000460 is about 6000.0383332109. The cubic root of 36000460 is about 330.1941312599.

The spelling of 36000460 in words is "thirty-six million, four hundred sixty", and thus it is an aban number.