416276928 has 224 divisors, whose sum is σ = 1332992000. Its totient is φ = 126904320.

The previous prime is 416276873. The next prime is 416276929. The reversal of 416276928 is 829672614.

It is a happy number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416276929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1017588 + ... + 1017996.

Almost surely, 2^416276928 is an apocalyptic number.

416276928 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 416276928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666496000).

416276928 is an abundant number, since it is smaller than the sum of its proper divisors (916715072).

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

416276928 is a wasteful number, since it uses less digits than its factorization.

416276928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 464 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 416276928 is about 20402.8656810753. The cubic root of 416276928 is about 746.6678415514.

The spelling of 416276928 in words is "four hundred sixteen million, two hundred seventy-six thousand, nine hundred twenty-eight".