1420232400 has 240 divisors, whose sum is σ = 5106369600. Its totient is φ = 374883840.

The previous prime is 1420232369. The next prime is 1420232413. The reversal of 1420232400 is 42320241.

1420232400 is a `hidden beast` number, since 1 + 420 + 2 + 3 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1154986 + ... + 1156214.

It is an arithmetic number, because the mean of its divisors is an integer number (21276540).

Almost surely, 2^1420232400 is an apocalyptic number.

1420232400 is a gapful number since it is divisible by the number (10) 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 1420232400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2553184800).

1420232400 is an abundant number, since it is smaller than the sum of its proper divisors (3686137200).

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

1420232400 is a wasteful number, since it uses less digits than its factorization.

1420232400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363 (or 1346 counting only the distinct ones).

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

The square root of 1420232400 is about 37685.9708645008. The cubic root of 1420232400 is about 1124.0521794565.

Adding to 1420232400 its reverse (42320241), we get a palindrome (1462552641).

The spelling of 1420232400 in words is "one billion, four hundred twenty million, two hundred thirty-two thousand, four hundred".