420400000 has 96 divisors (see below), whose sum is σ = 1047823560. Its totient is φ = 168000000.

The previous prime is 420399997. The next prime is 420400067. The reversal of 420400000 is 4024.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 420400000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 399475 + ... + 400525.

Almost surely, 2^420400000 is an apocalyptic number.

420400000 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 420400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523911780).

420400000 is an abundant number, since it is smaller than the sum of its proper divisors (627423560).

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

420400000 is an frugal number, since it uses more digits than its factorization.

420400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 420400000 is about 20503.6582101829. The cubic root of 420400000 is about 749.1249052687.

Adding to 420400000 its reverse (4024), we get a palindrome (420404024).

The spelling of 420400000 in words is "four hundred twenty million, four hundred thousand".