420442400 has 72 divisors (see below), whose sum is σ = 1173049920. Its totient is φ = 144149760.

The previous prime is 420442391. The next prime is 420442409. The reversal of 420442400 is 4244024.

It is an interprime number because it is at equal distance from previous prime (420442391) and next prime (420442409).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (420442409) 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, 31940 + ... + 43139.

It is an arithmetic number, because the mean of its divisors is an integer number (16292360).

Almost surely, 2^420442400 is an apocalyptic number.

420442400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420442400 is an abundant number, since it is smaller than the sum of its proper divisors (752607520).

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

420442400 is a wasteful number, since it uses less digits than its factorization.

420442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75106 (or 75093 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 420442400 is about 20504.6921459455. The cubic root of 420442400 is about 749.1500890842.

Adding to 420442400 its reverse (4244024), we get a palindrome (424686424).

It can be divided in two parts, 42044 and 2400, that added together give a palindrome (44444).

The spelling of 420442400 in words is "four hundred twenty million, four hundred forty-two thousand, four hundred".