421904160 has 192 divisors, whose sum is σ = 1490227200. Its totient is φ = 111476736.

The previous prime is 421904137. The next prime is 421904183. The reversal of 421904160 is 61409124.

It is an interprime number because it is at equal distance from previous prime (421904137) and next prime (421904183).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 548256 + ... + 549024.

It is an arithmetic number, because the mean of its divisors is an integer number (7761600).

Almost surely, 2^421904160 is an apocalyptic number.

421904160 is a gapful number since it is divisible by the number (40) 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 421904160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745113600).

421904160 is an abundant number, since it is smaller than the sum of its proper divisors (1068323040).

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

421904160 is a wasteful number, since it uses less digits than its factorization.

421904160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 421904160 is about 20540.3057426125. The cubic root of 421904160 is about 750.0172796019.

The spelling of 421904160 in words is "four hundred twenty-one million, nine hundred four thousand, one hundred sixty".