424521504 has 144 divisors (see below), whose sum is σ = 1330789824. Its totient is φ = 127296000.

The previous prime is 424521491. The next prime is 424521521. The reversal of 424521504 is 405125424.

424521504 = T₂₃₅ + T₂₃₆ + ... + T₁₃₆₇.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 325654 + ... + 326954.

It is an arithmetic number, because the mean of its divisors is an integer number (9241596).

Almost surely, 2^424521504 is an apocalyptic number.

424521504 is a gapful number since it is divisible by the number (44) 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 424521504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665394912).

424521504 is an abundant number, since it is smaller than the sum of its proper divisors (906268320).

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

424521504 is a wasteful number, since it uses less digits than its factorization.

424521504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 424521504 is about 20603.9196271001. The cubic root of 424521504 is about 751.5650306339.

Adding to 424521504 its reverse (405125424), we get a palindrome (829646928).

It can be divided in two parts, 42452 and 1504, that added together give a triangular number (43956 = T₂₉₆).

The spelling of 424521504 in words is "four hundred twenty-four million, five hundred twenty-one thousand, five hundred four".