240431400 has 144 divisors (see below), whose sum is σ = 880925760. Its totient is φ = 58281600.

The previous prime is 240431383. The next prime is 240431419. The reversal of 240431400 is 4134042.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13729 + ... + 25871.

It is an arithmetic number, because the mean of its divisors is an integer number (6117540).

Almost surely, 2^240431400 is an apocalyptic number.

240431400 is a gapful number since it is divisible by the number (20) 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 240431400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440462880).

240431400 is an abundant number, since it is smaller than the sum of its proper divisors (640494360).

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

240431400 is a wasteful number, since it uses less digits than its factorization.

240431400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12176 (or 12164 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 240431400 is about 15505.8505087596. The cubic root of 240431400 is about 621.8186283422.

Adding to 240431400 its reverse (4134042), we get a palindrome (244565442).

The spelling of 240431400 in words is "two hundred forty million, four hundred thirty-one thousand, four hundred".