431244720 has 180 divisors, whose sum is σ = 1505814336. Its totient is φ = 110488320.

The previous prime is 431244719. The next prime is 431244727. The reversal of 431244720 is 27442134.

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (431244727) 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 35 ways as a sum of consecutive naturals, for example, 3102411 + ... + 3102549.

Almost surely, 2^431244720 is an apocalyptic number.

431244720 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 431244720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752907168).

431244720 is an abundant number, since it is smaller than the sum of its proper divisors (1074569616).

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

431244720 is a wasteful number, since it uses less digits than its factorization.

431244720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 431244720 is about 20766.4325294452. The cubic root of 431244720 is about 755.5118205493.

Adding to 431244720 its reverse (27442134), we get a palindrome (458686854).

The spelling of 431244720 in words is "four hundred thirty-one million, two hundred forty-four thousand, seven hundred twenty".