414028296 has 48 divisors (see below), whose sum is σ = 1223267760. Its totient is φ = 125462880.

The previous prime is 414028283. The next prime is 414028339. The reversal of 414028296 is 692820414.

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 414028296.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 260590 + ... + 262173.

It is an arithmetic number, because the mean of its divisors is an integer number (25484745).

Almost surely, 2^414028296 is an apocalyptic number.

It is an amenable number.

414028296 is an abundant number, since it is smaller than the sum of its proper divisors (809239464).

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

414028296 is a wasteful number, since it uses less digits than its factorization.

414028296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522786 (or 522779 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 414028296 is about 20347.6852737603. The cubic root of 414028296 is about 745.3209709544.

The spelling of 414028296 in words is "four hundred fourteen million, twenty-eight thousand, two hundred ninety-six".