414069400 has 48 divisors (see below), whose sum is σ = 964157040. Its totient is φ = 165379200.

The previous prime is 414069377. The next prime is 414069407. The reversal of 414069400 is 4960414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414069407) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 192330 + ... + 194470.

It is an arithmetic number, because the mean of its divisors is an integer number (20086605).

Almost surely, 2^414069400 is an apocalyptic number.

414069400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414069400 is an abundant number, since it is smaller than the sum of its proper divisors (550087640).

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

414069400 is a wasteful number, since it uses less digits than its factorization.

414069400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3124 (or 3115 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 414069400 is about 20348.6952898706. The cubic root of 414069400 is about 745.3456348560.

The spelling of 414069400 in words is "four hundred fourteen million, sixty-nine thousand, four hundred".