424220832 has 216 divisors, whose sum is σ = 1465472736. Its totient is φ = 115847424.

The previous prime is 424220831. The next prime is 424220857. The reversal of 424220832 is 238022424.

424220832 is a `hidden beast` number, since 424 + 2 + 208 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 424220796 and 424220805.

It is not an unprimeable number, because it can be changed into a prime (424220831) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 323923 + ... + 325229.

It is an arithmetic number, because the mean of its divisors is an integer number (6784596).

Almost surely, 2^424220832 is an apocalyptic number.

424220832 is a gapful number since it is divisible by the number (42) 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 424220832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732736368).

424220832 is an abundant number, since it is smaller than the sum of its proper divisors (1041251904).

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

424220832 is a wasteful number, since it uses less digits than its factorization.

424220832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 424220832 is about 20596.6218589360. The cubic root of 424220832 is about 751.3875540087.

The spelling of 424220832 in words is "four hundred twenty-four million, two hundred twenty thousand, eight hundred thirty-two".