420330400 has 144 divisors (see below), whose sum is σ = 1198423296. Its totient is φ = 140958720.

The previous prime is 420330377. The next prime is 420330403. The reversal of 420330400 is 4033024.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (420330403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262402 + ... + 263998.

It is an arithmetic number, because the mean of its divisors is an integer number (8322384).

Almost surely, 2^420330400 is an apocalyptic number.

420330400 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 420330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599211648).

420330400 is an abundant number, since it is smaller than the sum of its proper divisors (778092896).

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

420330400 is a wasteful number, since it uses less digits than its factorization.

420330400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1671 (or 1658 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 420330400 is about 20501.9608818279. The cubic root of 420330400 is about 749.0835621264.

Adding to 420330400 its reverse (4033024), we get a palindrome (424363424).

The spelling of 420330400 in words is "four hundred twenty million, three hundred thirty thousand, four hundred".