420879360 has 352 divisors, whose sum is σ = 1528077312. Its totient is φ = 97976320.

The previous prime is 420879359. The next prime is 420879367. The reversal of 420879360 is 63978024.

It is a tau number, because it is divible by the number of its divisors (352).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420879367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7941094 + ... + 7941146.

Almost surely, 2^420879360 is an apocalyptic number.

420879360 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 420879360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764038656).

420879360 is an abundant number, since it is smaller than the sum of its proper divisors (1107197952).

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

420879360 is a wasteful number, since it uses less digits than its factorization.

420879360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 420879360 is about 20515.3445011289. The cubic root of 420879360 is about 749.4095263543.

The spelling of 420879360 in words is "four hundred twenty million, eight hundred seventy-nine thousand, three hundred sixty".