420400440 has 96 divisors (see below), whose sum is σ = 1425733920. Its totient is φ = 107230464.

The previous prime is 420400427. The next prime is 420400451. The reversal of 420400440 is 44004024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 17107 + ... + 33666.

It is an arithmetic number, because the mean of its divisors is an integer number (14851395).

Almost surely, 2^420400440 is an apocalyptic number.

420400440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420400440 is an abundant number, since it is smaller than the sum of its proper divisors (1005333480).

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

420400440 is a wasteful number, since it uses less digits than its factorization.

420400440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50813 (or 50806 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 420400440 is about 20503.6689399727. The cubic root of 420400440 is about 749.1251666188.

Adding to 420400440 its reverse (44004024), we get a palindrome (464404464).

The spelling of 420400440 in words is "four hundred twenty million, four hundred thousand, four hundred forty".