416924928 has 216 divisors, whose sum is σ = 1435378560. Its totient is φ = 119024640.

The previous prime is 416924927. The next prime is 416924971. The reversal of 416924928 is 829429614.

It is a tau number, because it is divible by the number of its divisors (216).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416924927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 338073 + ... + 339303.

Almost surely, 2^416924928 is an apocalyptic number.

416924928 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 416924928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717689280).

416924928 is an abundant number, since it is smaller than the sum of its proper divisors (1018453632).

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

416924928 is a wasteful number, since it uses less digits than its factorization.

416924928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1243 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 416924928 is about 20418.7396280965. The cubic root of 416924928 is about 747.0550756960.

The spelling of 416924928 in words is "four hundred sixteen million, nine hundred twenty-four thousand, nine hundred twenty-eight".