416056368 has 240 divisors, whose sum is σ = 1411623936. Its totient is φ = 103034880.

The previous prime is 416056367. The next prime is 416056373. The reversal of 416056368 is 863650614.

It is a Harshad number since it is a multiple of its sum of digits (39).

416056368 is a modest number, since divided by 56368 gives 4160 as remainder.

It is not an unprimeable number, because it can be changed into a prime (416056367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 965113 + ... + 965543.

Almost surely, 2^416056368 is an apocalyptic number.

416056368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416056368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705811968).

416056368 is an abundant number, since it is smaller than the sum of its proper divisors (995567568).

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

416056368 is a wasteful number, since it uses less digits than its factorization.

416056368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 416056368 is about 20397.4598418529. The cubic root of 416056368 is about 746.5359468581.

The spelling of 416056368 in words is "four hundred sixteen million, fifty-six thousand, three hundred sixty-eight".