424176480 has 576 divisors, whose sum is σ = 1859397120. Its totient is φ = 88418304.

The previous prime is 424176433. The next prime is 424176481. The reversal of 424176480 is 84671424.

424176480 is a `hidden beast` number, since 4 + 2 + 4 + 1 + 7 + 648 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424176481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5110519 + ... + 5110601.

It is an arithmetic number, because the mean of its divisors is an integer number (3228120).

Almost surely, 2^424176480 is an apocalyptic number.

424176480 is a gapful number since it is divisible by the number (40) 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 424176480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929698560).

424176480 is an abundant number, since it is smaller than the sum of its proper divisors (1435220640).

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

424176480 is a wasteful number, since it uses less digits than its factorization.

424176480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 424176480 is about 20595.5451493764. The cubic root of 424176480 is about 751.3613674099.

The spelling of 424176480 in words is "four hundred twenty-four million, one hundred seventy-six thousand, four hundred eighty".