421295904 has 144 divisors (see below), whose sum is σ = 1315929888. Its totient is φ = 132129792.

The previous prime is 421295879. The next prime is 421295923. The reversal of 421295904 is 409592124.

421295904 is a `hidden beast` number, since 42 + 1 + 29 + 590 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

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 23 ways as a sum of consecutive naturals, for example, 130599 + ... + 133785.

It is an arithmetic number, because the mean of its divisors is an integer number (9138402).

Almost surely, 2^421295904 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 421295904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657964944).

421295904 is an abundant number, since it is smaller than the sum of its proper divisors (894633984).

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

421295904 is a wasteful number, since it uses less digits than its factorization.

421295904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3229 (or 3209 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 421295904 is about 20525.4940013633. The cubic root of 421295904 is about 749.6566748611.

The spelling of 421295904 in words is "four hundred twenty-one million, two hundred ninety-five thousand, nine hundred four".