421153920 has 576 divisors, whose sum is σ = 1758594240. Its totient is φ = 91914240.

The previous prime is 421153841. The next prime is 421153933. The reversal of 421153920 is 29351124.

421153920 is a `hidden beast` number, since 421 + 153 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18311029 + ... + 18311051.

It is an arithmetic number, because the mean of its divisors is an integer number (3053115).

Almost surely, 2^421153920 is an apocalyptic number.

421153920 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 421153920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879297120).

421153920 is an abundant number, since it is smaller than the sum of its proper divisors (1337440320).

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

421153920 is a wasteful number, since it uses less digits than its factorization.

421153920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 421153920 is about 20522.0349868136. The cubic root of 421153920 is about 749.5724496472.

The spelling of 421153920 in words is "four hundred twenty-one million, one hundred fifty-three thousand, nine hundred twenty".