431370240 has 416 divisors, whose sum is σ = 1698485760. Its totient is φ = 91226112.

The previous prime is 431370211. The next prime is 431370259. The reversal of 431370240 is 42073134.

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 431370240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7311331 + ... + 7311389.

Almost surely, 2^431370240 is an apocalyptic number.

431370240 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 431370240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849242880).

431370240 is an abundant number, since it is smaller than the sum of its proper divisors (1267115520).

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

431370240 is a wasteful number, since it uses less digits than its factorization.

431370240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 431370240 is about 20769.4544945215. The cubic root of 431370240 is about 755.5851143120.

The spelling of 431370240 in words is "four hundred thirty-one million, three hundred seventy thousand, two hundred forty".