415972368 has 240 divisors, whose sum is σ = 1424343360. Its totient is φ = 115831296.

The previous prime is 415972331. The next prime is 415972397. The reversal of 415972368 is 863279514.

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, 909996 + ... + 910452.

It is an arithmetic number, because the mean of its divisors is an integer number (5934764).

Almost surely, 2^415972368 is an apocalyptic number.

415972368 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 415972368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712171680).

415972368 is an abundant number, since it is smaller than the sum of its proper divisors (1008370992).

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

415972368 is a wasteful number, since it uses less digits than its factorization.

415972368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 512 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 415972368 is about 20395.4006579915. The cubic root of 415972368 is about 746.4857026724.

The spelling of 415972368 in words is "four hundred fifteen million, nine hundred seventy-two thousand, three hundred sixty-eight".