421185408 has 64 divisors (see below), whose sum is σ = 1278606720. Its totient is φ = 120337920.

The previous prime is 421185403. The next prime is 421185431. The reversal of 421185408 is 804581124.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421185403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75658 + ... + 81033.

It is an arithmetic number, because the mean of its divisors is an integer number (19978230).

Almost surely, 2^421185408 is an apocalyptic number.

421185408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

421185408 is an abundant number, since it is smaller than the sum of its proper divisors (857421312).

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

421185408 is a wasteful number, since it uses less digits than its factorization.

421185408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156715 (or 156703 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The square root of 421185408 is about 20522.8021478550. The cubic root of 421185408 is about 749.5911300299.

It can be divided in two parts, 42 and 1185408, that multiplied together give a 4-th power (49787136 = 84⁴).

The spelling of 421185408 in words is "four hundred twenty-one million, one hundred eighty-five thousand, four hundred eight".