240134400 has 324 divisors, whose sum is σ = 939054480. Its totient is φ = 58060800.

The previous prime is 240134399. The next prime is 240134431. The reversal of 240134400 is 4431042.

240134400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 633411 + ... + 633789.

Almost surely, 2^240134400 is an apocalyptic number.

240134400 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 240134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469527240).

240134400 is an abundant number, since it is smaller than the sum of its proper divisors (698920080).

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

240134400 is a wasteful number, since it uses less digits than its factorization.

240134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 400 counting only the distinct ones).

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

The square root of 240134400 is about 15496.2705190636. The cubic root of 240134400 is about 621.5624828904.

Adding to 240134400 its reverse (4431042), we get a palindrome (244565442).

The spelling of 240134400 in words is "two hundred forty million, one hundred thirty-four thousand, four hundred".