224709504 has 96 divisors (see below), whose sum is σ = 630341640. Its totient is φ = 70917120.

The previous prime is 224709503. The next prime is 224709539. The reversal of 224709504 is 405907422.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×224709504² = 100988722375852032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224709503) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137814 + ... + 139434.

Almost surely, 2^224709504 is an apocalyptic number.

224709504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224709504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315170820).

224709504 is an abundant number, since it is smaller than the sum of its proper divisors (405632136).

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

224709504 is a wasteful number, since it uses less digits than its factorization.

224709504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1676 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 224709504 is about 14990.3136725020. The cubic root of 224709504 is about 607.9583304776.

The spelling of 224709504 in words is "two hundred twenty-four million, seven hundred nine thousand, five hundred four".