420795360 has 144 divisors (see below), whose sum is σ = 1455998544. Its totient is φ = 110647296.

The previous prime is 420795343. The next prime is 420795491. The reversal of 420795360 is 63597024.

420795360 is a `hidden beast` number, since 4 + 207 + 95 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103119 + ... + 107121.

It is an arithmetic number, because the mean of its divisors is an integer number (10111101).

Almost surely, 2^420795360 is an apocalyptic number.

420795360 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 420795360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727999272).

420795360 is an abundant number, since it is smaller than the sum of its proper divisors (1035203184).

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

420795360 is a wasteful number, since it uses less digits than its factorization.

420795360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4097 (or 4086 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 420795360 is about 20513.2971508727. The cubic root of 420795360 is about 749.3596667868.

The spelling of 420795360 in words is "four hundred twenty million, seven hundred ninety-five thousand, three hundred sixty".