414001400 has 48 divisors (see below), whose sum is σ = 963896640. Its totient is φ = 165369600.

The previous prime is 414001397. The next prime is 414001411. The reversal of 414001400 is 4100414.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 263417 + ... + 264983.

It is an arithmetic number, because the mean of its divisors is an integer number (20081180).

Almost surely, 2^414001400 is an apocalyptic number.

414001400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414001400 is an abundant number, since it is smaller than the sum of its proper divisors (549895240).

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

414001400 is a wasteful number, since it uses less digits than its factorization.

414001400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2904 (or 2895 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 414001400 is about 20347.0243524698. The cubic root of 414001400 is about 745.3048314884.

Adding to 414001400 its reverse (4100414), we get a palindrome (418101814).

The spelling of 414001400 in words is "four hundred fourteen million, one thousand, four hundred".