1414354400 has 36 divisors (see below), whose sum is σ = 3452794632. Its totient is φ = 565741440.

The previous prime is 1414354369. The next prime is 1414354411. The reversal of 1414354400 is 44534141.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1414354400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 883172 + ... + 884771.

It is an arithmetic number, because the mean of its divisors is an integer number (95910962).

Almost surely, 2^1414354400 is an apocalyptic number.

1414354400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1414354400 is an abundant number, since it is smaller than the sum of its proper divisors (2038440232).

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

1414354400 is a wasteful number, since it uses less digits than its factorization.

1414354400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767963 (or 1767950 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 1414354400 is about 37607.9034246792. The cubic root of 1414354400 is about 1122.4993080387.

Adding to 1414354400 its reverse (44534141), we get a palindrome (1458888541).

The spelling of 1414354400 in words is "one billion, four hundred fourteen million, three hundred fifty-four thousand, four hundred".