431440020 has 360 divisors, whose sum is σ = 1557287424. Its totient is φ = 99792000.

The previous prime is 431440013. The next prime is 431440033. The reversal of 431440020 is 20044134.

It is a super-2 number, since 2×431440020² = 372280981715200800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 431439975 and 431440002.

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 6076585 + ... + 6076655.

Almost surely, 2^431440020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431440020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778643712).

431440020 is an abundant number, since it is smaller than the sum of its proper divisors (1125847404).

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

431440020 is a wasteful number, since it uses less digits than its factorization.

431440020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 123 counting only the distinct ones).

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

The square root of 431440020 is about 20771.1342973849. The cubic root of 431440020 is about 755.6258541697.

Adding to 431440020 its reverse (20044134), we get a palindrome (451484154).

The spelling of 431440020 in words is "four hundred thirty-one million, four hundred forty thousand, twenty".