420824160 has 240 divisors, whose sum is σ = 1564239600. Its totient is φ = 106251264.

The previous prime is 420824149. The next prime is 420824161. The reversal of 420824160 is 61428024.

420824160 is a `hidden beast` number, since 420 + 82 + 4 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420824161) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 245386 + ... + 247094.

It is an arithmetic number, because the mean of its divisors is an integer number (6517665).

Almost surely, 2^420824160 is an apocalyptic number.

420824160 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 420824160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782119800).

420824160 is an abundant number, since it is smaller than the sum of its proper divisors (1143415440).

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

420824160 is a wasteful number, since it uses less digits than its factorization.

420824160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755 (or 1738 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 420824160 is about 20513.9991225504. Note that the first 3 decimals coincide. The cubic root of 420824160 is about 749.3767622431.

The spelling of 420824160 in words is "four hundred twenty million, eight hundred twenty-four thousand, one hundred sixty".