431445120 has 64 divisors (see below), whose sum is σ = 1375237440. Its totient is φ = 115051520.

The previous prime is 431445107. The next prime is 431445121. The reversal of 431445120 is 21544134.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×431445120² = 372289783143628800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (431445121) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 110436 + ... + 114275.

It is an arithmetic number, because the mean of its divisors is an integer number (21488085).

Almost surely, 2^431445120 is an apocalyptic number.

431445120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

431445120 is an abundant number, since it is smaller than the sum of its proper divisors (943792320).

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

431445120 is a wasteful number, since it uses less digits than its factorization.

431445120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224733 (or 224721 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 431445120 is about 20771.2570635482. The cubic root of 431445120 is about 755.6288315451.

Adding to 431445120 its reverse (21544134), we get a palindrome (452989254).

The spelling of 431445120 in words is "four hundred thirty-one million, four hundred forty-five thousand, one hundred twenty".