414200376 has 96 divisors (see below), whose sum is σ = 1239507360. Its totient is φ = 124286976.

The previous prime is 414200363. The next prime is 414200377. The reversal of 414200376 is 673002414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414200377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20796 + ... + 35508.

It is an arithmetic number, because the mean of its divisors is an integer number (12911535).

Almost surely, 2^414200376 is an apocalyptic number.

414200376 is a gapful number since it is divisible by the number (46) 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 414200376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619753680).

414200376 is an abundant number, since it is smaller than the sum of its proper divisors (825306984).

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

414200376 is a wasteful number, since it uses less digits than its factorization.

414200376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14765 (or 14758 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 414200376 is about 20351.9133252871. The cubic root of 414200376 is about 745.4242143555.

It can be divided in two parts, 414 and 200376, that multiplied together give a square (82955664 = 9108²).

The spelling of 414200376 in words is "four hundred fourteen million, two hundred thousand, three hundred seventy-six".