416125976 has 64 divisors (see below), whose sum is σ = 920846400. Its totient is φ = 172564992.

The previous prime is 416125967. The next prime is 416125979. The reversal of 416125976 is 679521614.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416125979) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 474050 + ... + 474926.

It is an arithmetic number, because the mean of its divisors is an integer number (14388225).

Almost surely, 2^416125976 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 416125976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460423200).

416125976 is an abundant number, since it is smaller than the sum of its proper divisors (504720424).

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

416125976 is a wasteful number, since it uses less digits than its factorization.

416125976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1152 counting only the distinct ones).

The product of its digits is 90720, while the sum is 41.

The square root of 416125976 is about 20399.1660613859. The cubic root of 416125976 is about 746.5775774163.

The spelling of 416125976 in words is "four hundred sixteen million, one hundred twenty-five thousand, nine hundred seventy-six".