424606752 has 192 divisors, whose sum is σ = 1300561920. Its totient is φ = 134611200.

The previous prime is 424606747. The next prime is 424606753. The reversal of 424606752 is 257606424.

424606752 is a `hidden beast` number, since 42 + 4 + 606 + 7 + 5 + 2 = 666.

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

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (424606753) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2222977 + ... + 2223167.

It is an arithmetic number, because the mean of its divisors is an integer number (6773760).

Almost surely, 2^424606752 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 424606752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650280960).

424606752 is an abundant number, since it is smaller than the sum of its proper divisors (875955168).

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

424606752 is a wasteful number, since it uses less digits than its factorization.

424606752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 424606752 is about 20605.9882558445. The cubic root of 424606752 is about 751.6153344285.

The spelling of 424606752 in words is "four hundred twenty-four million, six hundred six thousand, seven hundred fifty-two".