421186464 has 72 divisors (see below), whose sum is σ = 1208827620. Its totient is φ = 139097088.

The previous prime is 421186453. The next prime is 421186487. The reversal of 421186464 is 464681124.

It is a happy number.

421186464 is a `hidden beast` number, since 4 + 2 + 1 + 1 + 8 + 646 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 420578064 + 608400 = 20508^2 + 780^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24684 + ... + 38100.

Almost surely, 2^421186464 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 421186464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604413810).

421186464 is an abundant number, since it is smaller than the sum of its proper divisors (787641156).

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

421186464 is a wasteful number, since it uses less digits than its factorization.

421186464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13542 (or 13531 counting only the distinct ones).

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

The square root of 421186464 is about 20522.8278753197. The cubic root of 421186464 is about 749.5917564900.

The spelling of 421186464 in words is "four hundred twenty-one million, one hundred eighty-six thousand, four hundred sixty-four".