420411400 has 24 divisors (see below), whose sum is σ = 977456970. Its totient is φ = 168164480.

The previous prime is 420411371. The next prime is 420411401. The reversal of 420411400 is 4114024.

It can be written as a sum of positive squares in 3 ways, for example, as 310957956 + 109453444 = 17634^2 + 10462^2 .

It is not an unprimeable number, because it can be changed into a prime (420411401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1050829 + ... + 1051228.

Almost surely, 2^420411400 is an apocalyptic number.

420411400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420411400 is an abundant number, since it is smaller than the sum of its proper divisors (557045570).

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

420411400 is a wasteful number, since it uses less digits than its factorization.

420411400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2102073 (or 2102064 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 420411400 is about 20503.9362074700. The cubic root of 420411400 is about 749.1316765553.

Adding to 420411400 its reverse (4114024), we get a palindrome (424525424).

The spelling of 420411400 in words is "four hundred twenty million, four hundred eleven thousand, four hundred".