420716160 has 256 divisors, whose sum is σ = 1511395200. Its totient is φ = 110592000.

The previous prime is 420716147. The next prime is 420716201. The reversal of 420716160 is 61617024.

420716160 is a `hidden beast` number, since 42 + 0 + 7 + 1 + 616 + 0 = 666.

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

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, 1676035 + ... + 1676285.

Almost surely, 2^420716160 is an apocalyptic number.

420716160 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 420716160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755697600).

420716160 is an abundant number, since it is smaller than the sum of its proper divisors (1090679040).

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

420716160 is a wasteful number, since it uses less digits than its factorization.

420716160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 420716160 is about 20511.3666048852. The cubic root of 420716160 is about 749.3126502595.

The spelling of 420716160 in words is "four hundred twenty million, seven hundred sixteen thousand, one hundred sixty".