420040400 has 60 divisors (see below), whose sum is σ = 1086787212. Its totient is φ = 155089920.

The previous prime is 420040399. The next prime is 420040409. The reversal of 420040400 is 4040024.

It can be written as a sum of positive squares in 6 ways, for example, as 118336 + 419922064 = 344^2 + 20492^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420040409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35189 + ... + 45588.

Almost surely, 2^420040400 is an apocalyptic number.

420040400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420040400 is an abundant number, since it is smaller than the sum of its proper divisors (666746812).

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

420040400 is a wasteful number, since it uses less digits than its factorization.

420040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80808 (or 80797 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 420040400 is about 20494.8871672913. The cubic root of 420040400 is about 748.9112498920.

Adding to 420040400 its reverse (4040024), we get a palindrome (424080424).

The spelling of 420040400 in words is "four hundred twenty million, forty thousand, four hundred".