415507968 has 200 divisors, whose sum is σ = 1274469768. Its totient is φ = 134701056.

The previous prime is 415507957. The next prime is 415507987. The reversal of 415507968 is 869705514.

415507968 is a `hidden beast` number, since 4 + 1 + 550 + 7 + 96 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1783180 + ... + 1783412.

Almost surely, 2^415507968 is an apocalyptic number.

415507968 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 415507968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637234884).

415507968 is an abundant number, since it is smaller than the sum of its proper divisors (858961800).

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

415507968 is an equidigital number, since it uses as much as digits as its factorization.

415507968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 415507968 is about 20384.0125588658. The cubic root of 415507968 is about 746.2078019623.

The spelling of 415507968 in words is "four hundred fifteen million, five hundred seven thousand, nine hundred sixty-eight".