421723008 has 288 divisors, whose sum is σ = 1463267520. Its totient is φ = 116121600.

The previous prime is 421722997. The next prime is 421723013. The reversal of 421723008 is 800327124.

421723008 is a `hidden beast` number, since 421 + 7 + 230 + 0 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1749768 + ... + 1750008.

It is an arithmetic number, because the mean of its divisors is an integer number (5080790).

Almost surely, 2^421723008 is an apocalyptic number.

421723008 is a gapful number since it is divisible by the number (48) 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 421723008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731633760).

421723008 is an abundant number, since it is smaller than the sum of its proper divisors (1041544512).

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

421723008 is a wasteful number, since it uses less digits than its factorization.

421723008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 421723008 is about 20535.8955977089. The cubic root of 421723008 is about 749.9099198479.

It can be divided in two parts, 4217 and 23008, that added together give a square (27225 = 165²).

The spelling of 421723008 in words is "four hundred twenty-one million, seven hundred twenty-three thousand, eight".