431378640 has 480 divisors, whose sum is σ = 1871880192. Its totient is φ = 86400000.

The previous prime is 431378611. The next prime is 431378653. The reversal of 431378640 is 46873134.

431378640 is a `hidden beast` number, since 4 + 3 + 1 + 3 + 7 + 8 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 431378595 and 431378604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1718515 + ... + 1718765.

Almost surely, 2^431378640 is an apocalyptic number.

431378640 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 431378640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935940096).

431378640 is an abundant number, since it is smaller than the sum of its proper divisors (1440501552).

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

431378640 is a wasteful number, since it uses less digits than its factorization.

431378640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 431378640 is about 20769.6567135810. The cubic root of 431378640 is about 755.5900187407.

The spelling of 431378640 in words is "four hundred thirty-one million, three hundred seventy-eight thousand, six hundred forty".