420219360 has 384 divisors, whose sum is σ = 1654732800. Its totient is φ = 98703360.

The previous prime is 420219343. The next prime is 420219389. The reversal of 420219360 is 63912024.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1758121 + ... + 1758359.

It is an arithmetic number, because the mean of its divisors is an integer number (4309200).

Almost surely, 2^420219360 is an apocalyptic number.

420219360 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 420219360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827366400).

420219360 is an abundant number, since it is smaller than the sum of its proper divisors (1234513440).

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

420219360 is a wasteful number, since it uses less digits than its factorization.

420219360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 420219360 is about 20499.2526693048. The cubic root of 420219360 is about 749.0175937324.

The spelling of 420219360 in words is "four hundred twenty million, two hundred nineteen thousand, three hundred sixty".