416828480 has 56 divisors (see below), whose sum is σ = 1024615680. Its totient is φ = 161349120.

The previous prime is 416828473. The next prime is 416828483. The reversal of 416828480 is 84828614.

It is a super-2 number, since 2×416828480² = 347491963478220800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (416828483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11090 + ... + 30929.

Almost surely, 2^416828480 is an apocalyptic number.

416828480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

416828480 is an abundant number, since it is smaller than the sum of its proper divisors (607787200).

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

416828480 is a wasteful number, since it uses less digits than its factorization.

416828480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42067 (or 42057 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 41.

The square root of 416828480 is about 20416.3777394522. The cubic root of 416828480 is about 746.9974653847.

The spelling of 416828480 in words is "four hundred sixteen million, eight hundred twenty-eight thousand, four hundred eighty".