240420400 has 120 divisors (see below), whose sum is σ = 637535088. Its totient is φ = 86400000.

The previous prime is 240420391. The next prime is 240420431. The reversal of 240420400 is 4024042.

It is a super-3 number, since 3×240420400³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 444130 + ... + 444670.

Almost surely, 2^240420400 is an apocalyptic number.

240420400 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 240420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318767544).

240420400 is an abundant number, since it is smaller than the sum of its proper divisors (397114688).

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

240420400 is a wasteful number, since it uses less digits than its factorization.

240420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 240420400 is about 15505.4957998769. The cubic root of 240420400 is about 621.8091452364.

Adding to 240420400 its reverse (4024042), we get a palindrome (244444442).

The spelling of 240420400 in words is "two hundred forty million, four hundred twenty thousand, four hundred".