412928880 has 480 divisors, whose sum is σ = 1669518144. Its totient is φ = 83607552.

The previous prime is 412928863. The next prime is 412928911. The reversal of 412928880 is 88829214.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5656524 + ... + 5656596.

Almost surely, 2^412928880 is an apocalyptic number.

412928880 is a gapful number since it is divisible by the number (40) 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 412928880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834759072).

412928880 is an abundant number, since it is smaller than the sum of its proper divisors (1256589264).

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

412928880 is a wasteful number, since it uses less digits than its factorization.

412928880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 412928880 is about 20320.6515643569. The cubic root of 412928880 is about 744.6606745626.

The spelling of 412928880 in words is "four hundred twelve million, nine hundred twenty-eight thousand, eight hundred eighty".