438685632 has 420 divisors, whose sum is σ = 1660742424. Its totient is φ = 113218560.

The previous prime is 438685631. The next prime is 438685703. The reversal of 438685632 is 236586834.

It is a happy number.

438685632 is a `hidden beast` number, since 4 + 3 + 8 + 6 + 8 + 5 + 632 = 666.

Its product of digits (829440) is a multiple of the sum of its prime divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (438685631) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2794098 + ... + 2794254.

Almost surely, 2^438685632 is an apocalyptic number.

438685632 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 438685632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830371212).

438685632 is an abundant number, since it is smaller than the sum of its proper divisors (1222056792).

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

438685632 is a wasteful number, since it uses less digits than its factorization.

438685632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 180 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 438685632 is about 20944.8235132216. The cubic root of 438685632 is about 759.8323914783.

The spelling of 438685632 in words is "four hundred thirty-eight million, six hundred eighty-five thousand, six hundred thirty-two".