420038400 has 216 divisors, whose sum is σ = 1405160064. Its totient is φ = 110489600.

The previous prime is 420038387. The next prime is 420038417. The reversal of 420038400 is 4830024.

It is a happy number.

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, 2515117 + ... + 2515283.

Almost surely, 2^420038400 is an apocalyptic number.

420038400 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 420038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702580032).

420038400 is an abundant number, since it is smaller than the sum of its proper divisors (985121664).

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

420038400 is a wasteful number, since it uses less digits than its factorization.

420038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 308 counting only the distinct ones).

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

The square root of 420038400 is about 20494.8383745762. The cubic root of 420038400 is about 748.9100612565.

Adding to 420038400 its reverse (4830024), we get a palindrome (424868424).

It can be divided in two parts, 42003 and 8400, that added together give a triangular number (50403 = T₃₁₇).

The spelling of 420038400 in words is "four hundred twenty million, thirty-eight thousand, four hundred".