414013400 has 24 divisors (see below), whose sum is σ = 962581620. Its totient is φ = 165605280.

The previous prime is 414013381. The next prime is 414013403. The reversal of 414013400 is 4310414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414013403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1034834 + ... + 1035233.

Almost surely, 2^414013400 is an apocalyptic number.

414013400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414013400 is an abundant number, since it is smaller than the sum of its proper divisors (548568220).

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

414013400 is a wasteful number, since it uses less digits than its factorization.

414013400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2070083 (or 2070074 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 414013400 is about 20347.3192337467. The cubic root of 414013400 is about 745.3120324073.

Adding to 414013400 its reverse (4310414), we get a palindrome (418323814).

The spelling of 414013400 in words is "four hundred fourteen million, thirteen thousand, four hundred".