504672 has 48 divisors (see below), whose sum is σ = 1516032. Its totient is φ = 144000.

The previous prime is 504671. The next prime is 504677. The reversal of 504672 is 276405.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 297 + ... + 1047.

It is an arithmetic number, because the mean of its divisors is an integer number (31584).

2⁵⁰⁴⁶⁷² 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 504672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758016).

504672 is an abundant number, since it is smaller than the sum of its proper divisors (1011360).

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

504672 is a wasteful number, since it uses less digits than its factorization.

504672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 504672 is about 710.4027026976. The cubic root of 504672 is about 79.6164978472.

It can be divided in two parts, 504 and 672, that added together give a triangular number (1176 = T₄₈).

The spelling of 504672 in words is "five hundred four thousand, six hundred seventy-two".