421464960 has 192 divisors, whose sum is σ = 1663440480. Its totient is φ = 96325632.

The previous prime is 421464943. The next prime is 421464961. The reversal of 421464960 is 69464124.

421464960 is a `hidden beast` number, since 4 + 2 + 1 + 4 + 649 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421464961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35094 + ... + 45546.

Almost surely, 2^421464960 is an apocalyptic number.

421464960 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 421464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831720240).

421464960 is an abundant number, since it is smaller than the sum of its proper divisors (1241975520).

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

421464960 is a wasteful number, since it uses less digits than its factorization.

421464960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10485 (or 10470 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 421464960 is about 20529.6117839573. The cubic root of 421464960 is about 749.7569345674.

The spelling of 421464960 in words is "four hundred twenty-one million, four hundred sixty-four thousand, nine hundred sixty".