431740400 has 240 divisors, whose sum is σ = 1323873600. Its totient is φ = 131604480.

The previous prime is 431740391. The next prime is 431740409. The reversal of 431740400 is 4047134.

It is an interprime number because it is at equal distance from previous prime (431740391) and next prime (431740409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (431740409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1055396 + ... + 1055804.

It is an arithmetic number, because the mean of its divisors is an integer number (5516140).

Almost surely, 2^431740400 is an apocalyptic number.

431740400 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 431740400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661936800).

431740400 is an abundant number, since it is smaller than the sum of its proper divisors (892133200).

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

431740400 is a wasteful number, since it uses less digits than its factorization.

431740400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 431740400 is about 20778.3637469364. The cubic root of 431740400 is about 755.8011757506.

Adding to 431740400 its reverse (4047134), we get a palindrome (435787534).

The spelling of 431740400 in words is "four hundred thirty-one million, seven hundred forty thousand, four hundred".