424876032 has 288 divisors, whose sum is σ = 1456509600. Its totient is φ = 116785152.

The previous prime is 424876031. The next prime is 424876057. The reversal of 424876032 is 230678424.

424876032 is a `hidden beast` number, since 4 + 2 + 48 + 7 + 603 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (424876031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4773844 + ... + 4773932.

It is an arithmetic number, because the mean of its divisors is an integer number (5057325).

Almost surely, 2^424876032 is an apocalyptic number.

424876032 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 424876032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728254800).

424876032 is an abundant number, since it is smaller than the sum of its proper divisors (1031633568).

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

424876032 is a wasteful number, since it uses less digits than its factorization.

424876032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 424876032 is about 20612.5212431667. The cubic root of 424876032 is about 751.7741890283.

The spelling of 424876032 in words is "four hundred twenty-four million, eight hundred seventy-six thousand, thirty-two".