420584160 has 96 divisors (see below), whose sum is σ = 1333517472. Its totient is φ = 111421440.

The previous prime is 420584159. The next prime is 420584183. The reversal of 420584160 is 61485024.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72570 + ... + 78150.

It is an arithmetic number, because the mean of its divisors is an integer number (13890807).

Almost surely, 2^420584160 is an apocalyptic number.

420584160 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 420584160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666758736).

420584160 is an abundant number, since it is smaller than the sum of its proper divisors (912933312).

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

420584160 is a wasteful number, since it uses less digits than its factorization.

420584160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5756 (or 5748 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 420584160 is about 20508.1486243883. The cubic root of 420584160 is about 749.2342762667.

The spelling of 420584160 in words is "four hundred twenty million, five hundred eighty-four thousand, one hundred sixty".