431545240 has 64 divisors (see below), whose sum is σ = 1121198400. Its totient is φ = 146423808.

The previous prime is 431545189. The next prime is 431545243. The reversal of 431545240 is 42545134.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 431545199 and 431545208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431545243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19216 + ... + 35104.

It is an arithmetic number, because the mean of its divisors is an integer number (17518725).

Almost surely, 2^431545240 is an apocalyptic number.

431545240 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 431545240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560599200).

431545240 is an abundant number, since it is smaller than the sum of its proper divisors (689653160).

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

431545240 is a wasteful number, since it uses less digits than its factorization.

431545240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16004 (or 16000 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 431545240 is about 20773.6669849115. Note that the first 3 decimals coincide. The cubic root of 431545240 is about 755.6872767593.

The spelling of 431545240 in words is "four hundred thirty-one million, five hundred forty-five thousand, two hundred forty".