416078460 has 144 divisors (see below), whose sum is σ = 1463035392. Its totient is φ = 93744000.

The previous prime is 416078437. The next prime is 416078479. The reversal of 416078460 is 64870614.

416078460 is a `hidden beast` number, since 4 + 1 + 607 + 8 + 46 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87135 + ... + 91785.

It is an arithmetic number, because the mean of its divisors is an integer number (10159968).

Almost surely, 2^416078460 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 416078460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731517696).

416078460 is an abundant number, since it is smaller than the sum of its proper divisors (1046956932).

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

416078460 is a wasteful number, since it uses less digits than its factorization.

416078460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4744 (or 4739 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 416078460 is about 20398.0013726836. The cubic root of 416078460 is about 746.5491599558.

The spelling of 416078460 in words is "four hundred sixteen million, seventy-eight thousand, four hundred sixty".