420070320 has 160 divisors (see below), whose sum is σ = 1453478400. Its totient is φ = 111511296.

The previous prime is 420070319. The next prime is 420070327. The reversal of 420070320 is 23070024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 420070293 and 420070302.

It is not an unprimeable number, because it can be changed into a prime (420070327) 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, 948019 + ... + 948461.

It is an arithmetic number, because the mean of its divisors is an integer number (9084240).

Almost surely, 2^420070320 is an apocalyptic number.

420070320 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 420070320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726739200).

420070320 is an abundant number, since it is smaller than the sum of its proper divisors (1033408080).

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

420070320 is a wasteful number, since it uses less digits than its factorization.

420070320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 420070320 is about 20495.6170924420. The cubic root of 420070320 is about 748.9290314297.

The spelling of 420070320 in words is "four hundred twenty million, seventy thousand, three hundred twenty".