421629264 has 240 divisors, whose sum is σ = 1416290304. Its totient is φ = 114566400.

The previous prime is 421629251. The next prime is 421629269. The reversal of 421629264 is 462926124.

421629264 is a `hidden beast` number, since 4 + 2 + 1 + 629 + 26 + 4 = 666.

It is a super-2 number, since 2×421629264² = 355542472522363392, 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 not an unprimeable number, because it can be changed into a prime (421629269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3218479 + ... + 3218609.

Almost surely, 2^421629264 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 421629264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708145152).

421629264 is an abundant number, since it is smaller than the sum of its proper divisors (994661040).

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

421629264 is a wasteful number, since it uses less digits than its factorization.

421629264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 277 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 421629264 is about 20533.6130283981. The cubic root of 421629264 is about 749.8543503834.

The spelling of 421629264 in words is "four hundred twenty-one million, six hundred twenty-nine thousand, two hundred sixty-four".