424912032 has 72 divisors (see below), whose sum is σ = 1210911156. Its totient is φ = 141336576.

The previous prime is 424912027. The next prime is 424912043. The reversal of 424912032 is 230219424.

It can be written as a sum of positive squares in 2 ways, for example, as 384003216 + 40908816 = 19596^2 + 6396^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 424911987 and 424912005.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 164898 + ... + 167454.

Almost surely, 2^424912032 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 424912032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605455578).

424912032 is an abundant number, since it is smaller than the sum of its proper divisors (785999124).

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

424912032 is a wasteful number, since it uses less digits than its factorization.

424912032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3150 (or 3139 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 424912032 is about 20613.3944802888. The cubic root of 424912032 is about 751.7954211873.

The spelling of 424912032 in words is "four hundred twenty-four million, nine hundred twelve thousand, thirty-two".