420641400 has 96 divisors (see below), whose sum is σ = 1309849200. Its totient is φ = 111667200.

The previous prime is 420641341. The next prime is 420641447. The reversal of 420641400 is 4146024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143146 + ... + 146054.

Almost surely, 2^420641400 is an apocalyptic number.

420641400 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 420641400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654924600).

420641400 is an abundant number, since it is smaller than the sum of its proper divisors (889207800).

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

420641400 is a wasteful number, since it uses less digits than its factorization.

420641400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3169 (or 3160 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 420641400 is about 20509.5441197507. The cubic root of 420641400 is about 749.2682640934.

Adding to 420641400 its reverse (4146024), we get a palindrome (424787424).

The spelling of 420641400 in words is "four hundred twenty million, six hundred forty-one thousand, four hundred".