420431040 has 112 divisors (see below), whose sum is σ = 1483217760. Its totient is φ = 112112640.

The previous prime is 420430979. The next prime is 420431051. The reversal of 420431040 is 40134024.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15691 + ... + 32970.

Almost surely, 2^420431040 is an apocalyptic number.

420431040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420431040 is an abundant number, since it is smaller than the sum of its proper divisors (1062786720).

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

420431040 is a wasteful number, since it uses less digits than its factorization.

420431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48687 (or 48671 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 420431040 is about 20504.4151343071. The cubic root of 420431040 is about 749.1433418884.

Adding to 420431040 its reverse (40134024), we get a palindrome (460565064).

The spelling of 420431040 in words is "four hundred twenty million, four hundred thirty-one thousand, forty".