473364 has 36 divisors (see below), whose sum is σ = 1243424. Its totient is φ = 157464.

The previous prime is 473353. The next prime is 473377. The reversal of 473364 is 463374.

473364 = T₃₄₀ + T₃₄₁ + ... + T₃₄₇.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 473364.

It is an unprimeable number.

473364 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 729 + ... + 1215.

2⁴⁷³³⁶⁴ 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 473364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621712).

473364 is an abundant number, since it is smaller than the sum of its proper divisors (770060).

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

473364 is a wasteful number, since it uses less digits than its factorization.

473364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 492 counting only the distinct ones).

The product of its digits is 6048, while the sum is 27.

The square root of 473364 is about 688.0145347302. The cubic root of 473364 is about 77.9348568522.

The spelling of 473364 in words is "four hundred seventy-three thousand, three hundred sixty-four".