715484 has 48 divisors (see below), whose sum is σ = 1645056. Its totient is φ = 264000.

The previous prime is 715457. The next prime is 715489. The reversal of 715484 is 484517.

715484 = T₉₆ + T₉₇ + ... + T₁₇₂.

715484 is nontrivially palindromic in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (715489) by changing a digit.

715484 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 15 ways as a sum of consecutive naturals, for example, 7034 + ... + 7134.

It is an arithmetic number, because the mean of its divisors is an integer number (34272).

2⁷¹⁵⁴⁸⁴ 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 715484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822528).

715484 is an abundant number, since it is smaller than the sum of its proper divisors (929572).

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

715484 is a wasteful number, since it uses less digits than its factorization.

715484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 144 counting only the distinct ones).

The product of its digits is 4480, while the sum is 29.

The square root of 715484 is about 845.8628730474. The cubic root of 715484 is about 89.4403126686.

It can be divided in two parts, 71 and 5484, that added together give a palindrome (5555).

The spelling of 715484 in words is "seven hundred fifteen thousand, four hundred eighty-four".