431412480 has 432 divisors, whose sum is σ = 1651715520. Its totient is φ = 107495424.

The previous prime is 431412473. The next prime is 431412481. The reversal of 431412480 is 84214134.

431412480 is a `hidden beast` number, since 43 + 141 + 2 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×431412480² = 372233455799500800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431412481) 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 47 ways as a sum of consecutive naturals, for example, 5909724 + ... + 5909796.

Almost surely, 2^431412480 is an apocalyptic number.

431412480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825857760).

431412480 is an abundant number, since it is smaller than the sum of its proper divisors (1220303040).

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

431412480 is an equidigital number, since it uses as much as digits as its factorization.

431412480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 431412480 is about 20770.4713475646. The cubic root of 431412480 is about 755.6097759372.

The spelling of 431412480 in words is "four hundred thirty-one million, four hundred twelve thousand, four hundred eighty".