431426500 has 48 divisors (see below), whose sum is σ = 944339760. Its totient is φ = 172185600.

The previous prime is 431426491. The next prime is 431426503. The reversal of 431426500 is 5624134.

It can be written as a sum of positive squares in 8 ways, for example, as 262634436 + 168792064 = 16206^2 + 12992^2 .

It is a super-2 number, since 2×431426500² = 372257649804500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431426503) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 353892 + ... + 355108.

It is an arithmetic number, because the mean of its divisors is an integer number (19673745).

Almost surely, 2^431426500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431426500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472169880).

431426500 is an abundant number, since it is smaller than the sum of its proper divisors (512913260).

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

431426500 is a wasteful number, since it uses less digits than its factorization.

431426500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 431426500 is about 20770.8088431818. The cubic root of 431426500 is about 755.6179610924.

The spelling of 431426500 in words is "four hundred thirty-one million, four hundred twenty-six thousand, five hundred".