421416864 has 288 divisors, whose sum is σ = 1407672000. Its totient is φ = 122411520.

The previous prime is 421416857. The next prime is 421416887. The reversal of 421416864 is 468614124.

It is a happy number.

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

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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3031707 + ... + 3031845.

It is an arithmetic number, because the mean of its divisors is an integer number (4887750).

Almost surely, 2^421416864 is an apocalyptic number.

421416864 is a gapful number since it is divisible by the number (44) 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 421416864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703836000).

421416864 is an abundant number, since it is smaller than the sum of its proper divisors (986255136).

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

421416864 is a wasteful number, since it uses less digits than its factorization.

421416864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 184 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 421416864 is about 20528.4403693997. The cubic root of 421416864 is about 749.7284136664.

The spelling of 421416864 in words is "four hundred twenty-one million, four hundred sixteen thousand, eight hundred sixty-four".