431389152 has 144 divisors (see below), whose sum is σ = 1316755440. Its totient is φ = 138765312.

The previous prime is 431389151. The next prime is 431389159. The reversal of 431389152 is 251983134.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431389151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 224548 + ... + 226460.

It is an arithmetic number, because the mean of its divisors is an integer number (9144135).

Almost surely, 2^431389152 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 431389152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658377720).

431389152 is an abundant number, since it is smaller than the sum of its proper divisors (885366288).

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

431389152 is a wasteful number, since it uses less digits than its factorization.

431389152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1967 (or 1947 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 431389152 is about 20769.9097735161. The cubic root of 431389152 is about 755.5961561932.

The spelling of 431389152 in words is "four hundred thirty-one million, three hundred eighty-nine thousand, one hundred fifty-two".