46360 has 32 divisors (see below), whose sum is σ = 111600. Its totient is φ = 17280.

The previous prime is 46351. The next prime is 46381. The reversal of 46360 is 6364.

It is a happy number.

46360 is a nontrivial binomial coefficient, being equal to C(305, 2).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 730 + ... + 790.

2⁴⁶³⁶⁰ is an apocalyptic number.

46360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

46360 is the 304-th triangular number.

46360 is the 102-nd centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55800).

46360 is an abundant number, since it is smaller than the sum of its proper divisors (65240).

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

46360 is a wasteful number, since it uses less digits than its factorization.

46360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 87 counting only the distinct ones).

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

The square root of 46360 is about 215.3137245974. The cubic root of 46360 is about 35.9237067419.

It can be divided in two parts, 46 and 360, that added together give a triangular number (406 = T₂₈).

The spelling of 46360 in words is "forty-six thousand, three hundred sixty".