431153040 has 80 divisors (see below), whose sum is σ = 1356573888. Its totient is φ = 113253888.

The previous prime is 431153033. The next prime is 431153059. The reversal of 431153040 is 40351134.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 431152998 and 431153016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2674 + ... + 29486.

Almost surely, 2^431153040 is an apocalyptic number.

431153040 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 431153040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678286944).

431153040 is an abundant number, since it is smaller than the sum of its proper divisors (925420848).

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

431153040 is a wasteful number, since it uses less digits than its factorization.

431153040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26896 (or 26890 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 431153040 is about 20764.2250035969. The cubic root of 431153040 is about 755.4582776849.

The spelling of 431153040 in words is "four hundred thirty-one million, one hundred fifty-three thousand, forty".