412054416 has 60 divisors (see below), whose sum is σ = 1157544960. Its totient is φ = 136831680.

The previous prime is 412054399. The next prime is 412054427. The reversal of 412054416 is 614450214.

412054416 is a `hidden beast` number, since 41 + 205 + 4 + 416 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 412054416.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33745 + ... + 44303.

It is an arithmetic number, because the mean of its divisors is an integer number (19292416).

Almost surely, 2^412054416 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 412054416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578772480).

412054416 is an abundant number, since it is smaller than the sum of its proper divisors (745490544).

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

412054416 is a wasteful number, since it uses less digits than its factorization.

412054416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10844 (or 10835 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 412054416 is about 20299.1235278768. The cubic root of 412054416 is about 744.1346443793.

The spelling of 412054416 in words is "four hundred twelve million, fifty-four thousand, four hundred sixteen".