414059072 has 56 divisors (see below), whose sum is σ = 994281984. Its totient is φ = 167012352.

The previous prime is 414059069. The next prime is 414059099. The reversal of 414059072 is 270950414.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19568 + ... + 34799.

Almost surely, 2^414059072 is an apocalyptic number.

It is an amenable number.

414059072 is an abundant number, since it is smaller than the sum of its proper divisors (580222912).

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

414059072 is a wasteful number, since it uses less digits than its factorization.

414059072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54403 (or 54393 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 414059072 is about 20348.4415128039. The cubic root of 414059072 is about 745.3394378323.

The spelling of 414059072 in words is "four hundred fourteen million, fifty-nine thousand, seventy-two".