431352450 has 72 divisors (see below), whose sum is σ = 1161283188. Its totient is φ = 114791040.

The previous prime is 431352413. The next prime is 431352451. The reversal of 431352450 is 54253134.

It can be written as a sum of positive squares in 6 ways, for example, as 363931929 + 67420521 = 19077^2 + 8211^2 .

It is a super-2 number, since 2×431352450² = 372129872242005000, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (431352451) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 394104 + ... + 395196.

Almost surely, 2^431352450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431352450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580641594).

431352450 is an abundant number, since it is smaller than the sum of its proper divisors (729930738).

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

431352450 is a wasteful number, since it uses less digits than its factorization.

431352450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988 (or 1980 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 431352450 is about 20769.0262169414. The cubic root of 431352450 is about 755.5747272224.

The spelling of 431352450 in words is "four hundred thirty-one million, three hundred fifty-two thousand, four hundred fifty".