431043552 has 192 divisors, whose sum is σ = 1330560000. Its totient is φ = 135489024.

The previous prime is 431043527. The next prime is 431043553. The reversal of 431043552 is 255340134.

431043552 is a `hidden beast` number, since 4 + 3 + 104 + 3 + 552 = 666.

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 (431043553) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2165949 + ... + 2166147.

It is an arithmetic number, because the mean of its divisors is an integer number (6930000).

Almost surely, 2^431043552 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 431043552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665280000).

431043552 is an abundant number, since it is smaller than the sum of its proper divisors (899516448).

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

431043552 is a wasteful number, since it uses less digits than its factorization.

431043552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 431043552 is about 20761.5883785418. The cubic root of 431043552 is about 755.3943246638.

Adding to 431043552 its reverse (255340134), we get a palindrome (686383686).

It can be divided in two parts, 43104 and 3552, that added together give a 6-th power (46656 = 6⁶).

The spelling of 431043552 in words is "four hundred thirty-one million, forty-three thousand, five hundred fifty-two".