497872 has 30 divisors (see below), whose sum is σ = 1026038. Its totient is φ = 233856.

The previous prime is 497869. The next prime is 497873. The reversal of 497872 is 278794.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 179776 + 318096 = 424^2 + 564^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (497873) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13438 + ... + 13474.

2⁴⁹⁷⁸⁷² 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 497872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513019).

497872 is an abundant number, since it is smaller than the sum of its proper divisors (528166).

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

497872 is a wasteful number, since it uses less digits than its factorization.

497872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 68 counting only the distinct ones).

The product of its digits is 28224, while the sum is 37.

The square root of 497872 is about 705.6004535146. The cubic root of 497872 is about 79.2572928303.

Multiplying 497872 by its sum of digits (37), we get a square (18421264 = 4292²).

497872 divided by its sum of digits (37) gives a square (13456 = 116²).

It can be divided in two parts, 4978 and 72, that added together give a triangular number (5050 = T₁₀₀).

The spelling of 497872 in words is "four hundred ninety-seven thousand, eight hundred seventy-two".