485406432 has 240 divisors, whose sum is σ = 1686085632. Its totient is φ = 134058240.

The previous prime is 485406373. The next prime is 485406451. The reversal of 485406432 is 234604584.

485406432 is a `hidden beast` number, since 4 + 8 + 5 + 4 + 0 + 643 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 562033 + ... + 562895.

Almost surely, 2^485406432 is an apocalyptic number.

485406432 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 485406432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843042816).

485406432 is an abundant number, since it is smaller than the sum of its proper divisors (1200679200).

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

485406432 is a wasteful number, since it uses less digits than its factorization.

485406432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 485406432 is about 22031.9411763921. The cubic root of 485406432 is about 785.9022079838.

The spelling of 485406432 in words is "four hundred eighty-five million, four hundred six thousand, four hundred thirty-two".