421386624 has 160 divisors (see below), whose sum is σ = 1269991800. Its totient is φ = 138682368.

The previous prime is 421386619. The next prime is 421386649. The reversal of 421386624 is 426683124.

421386624 is a `hidden beast` number, since 4 + 21 + 3 + 8 + 6 + 624 = 666.

It is a super-2 number, since 2×421386624² = 355133373772234752, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

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 19 ways as a sum of consecutive naturals, for example, 1005487 + ... + 1005905.

Almost surely, 2^421386624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421386624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634995900).

421386624 is an abundant number, since it is smaller than the sum of its proper divisors (848605176).

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

421386624 is an equidigital number, since it uses as much as digits as its factorization.

421386624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 521 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 421386624 is about 20527.7038170371. The cubic root of 421386624 is about 749.7104802521.

The spelling of 421386624 in words is "four hundred twenty-one million, three hundred eighty-six thousand, six hundred twenty-four".