431433240 has 192 divisors, whose sum is σ = 1516838400. Its totient is φ = 97880832.

The previous prime is 431433181. The next prime is 431433251. The reversal of 431433240 is 42334134.

It is a super-2 number, since 2×431433240² = 372269281153795200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 431433240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1405167 + ... + 1405473.

It is an arithmetic number, because the mean of its divisors is an integer number (7900200).

Almost surely, 2^431433240 is an apocalyptic number.

431433240 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 431433240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758419200).

431433240 is an abundant number, since it is smaller than the sum of its proper divisors (1085405160).

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

431433240 is a wasteful number, since it uses less digits than its factorization.

431433240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 431433240 is about 20770.9710894797. The cubic root of 431433240 is about 755.6218959755.

Adding to 431433240 its reverse (42334134), we get a palindrome (473767374).

The spelling of 431433240 in words is "four hundred thirty-one million, four hundred thirty-three thousand, two hundred forty".