414052776 has 64 divisors (see below), whose sum is σ = 1156680000. Its totient is φ = 137233728.

The previous prime is 414052747. The next prime is 414052781. The reversal of 414052776 is 677250414.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 414052776.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33310 + ... + 44018.

It is an arithmetic number, because the mean of its divisors is an integer number (18073125).

Almost surely, 2^414052776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414052776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578340000).

414052776 is an abundant number, since it is smaller than the sum of its proper divisors (742627224).

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

414052776 is a wasteful number, since it uses less digits than its factorization.

414052776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10903 (or 10893 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 414052776 is about 20348.2868074932. The cubic root of 414052776 is about 745.3356600453.

The spelling of 414052776 in words is "four hundred fourteen million, fifty-two thousand, seven hundred seventy-six".