414690672 has 80 divisors (see below), whose sum is σ = 1200316032. Its totient is φ = 122261760.

The previous prime is 414690649. The next prime is 414690697. The reversal of 414690672 is 276096414.

It is a happy number.

It is a super-3 number, since 3×414690672³ (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 414690672.

It is a congruent number.

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, 8923 + ... + 30149.

Almost surely, 2^414690672 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 414690672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600158016).

414690672 is an abundant number, since it is smaller than the sum of its proper divisors (785625360).

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

414690672 is a wasteful number, since it uses less digits than its factorization.

414690672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21286 (or 21280 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 414690672 is about 20363.9552150362. The cubic root of 414690672 is about 745.7182221343.

The spelling of 414690672 in words is "four hundred fourteen million, six hundred ninety thousand, six hundred seventy-two".