817452 has 54 divisors (see below), whose sum is σ = 2219308. Its totient is φ = 263088.

The previous prime is 817433. The next prime is 817457. The reversal of 817452 is 254718.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

817452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (54).

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

It is not an unprimeable number, because it can be changed into a prime (817457) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28174 + ... + 28202.

2⁸¹⁷⁴⁵² 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 817452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109654).

817452 is an abundant number, since it is smaller than the sum of its proper divisors (1401856).

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

817452 is a wasteful number, since it uses less digits than its factorization.

817452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 34 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 817452 is about 904.1305215510. The cubic root of 817452 is about 93.5019683687.

Multiplying 817452 by its sum of digits (27), we get a square (22071204 = 4698²).

817452 divided by its sum of digits (27) gives a square (30276 = 174²).

The spelling of 817452 in words is "eight hundred seventeen thousand, four hundred fifty-two".