414278072 has 16 divisors (see below), whose sum is σ = 836523240. Its totient is φ = 191205216.

The previous prime is 414278057. The next prime is 414278077. The reversal of 414278072 is 270872414.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414278077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1991618 + ... + 1991825.

Almost surely, 2^414278072 is an apocalyptic number.

It is an amenable number.

414278072 is an abundant number, since it is smaller than the sum of its proper divisors (422245168).

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

414278072 is a wasteful number, since it uses less digits than its factorization.

414278072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3983462 (or 3983458 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 35.

The square root of 414278072 is about 20353.8220489421. The cubic root of 414278072 is about 745.4708205089.

The spelling of 414278072 in words is "four hundred fourteen million, two hundred seventy-eight thousand, seventy-two".