420439440 has 80 divisors (see below), whose sum is σ = 1331129088. Its totient is φ = 109728768.

The previous prime is 420439373. The next prime is 420439451. The reversal of 420439440 is 44934024.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 420439398 and 420439407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7357 + ... + 29916.

Almost surely, 2^420439440 is an apocalyptic number.

420439440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420439440 is an abundant number, since it is smaller than the sum of its proper divisors (910689648).

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

420439440 is a wasteful number, since it uses less digits than its factorization.

420439440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37336 (or 37330 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 420439440 is about 20504.6199672171. The cubic root of 420439440 is about 749.1483310238.

The spelling of 420439440 in words is "four hundred twenty million, four hundred thirty-nine thousand, four hundred forty".