412864480 has 96 divisors (see below), whose sum is σ = 1118577600. Its totient is φ = 141066240.

The previous prime is 412864469. The next prime is 412864481. The reversal of 412864480 is 84468214.

412864480 is a nontrivial binomial coefficient, being equal to C(28736, 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412864481) 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, 502470 + ... + 503290.

It is an arithmetic number, because the mean of its divisors is an integer number (11651850).

Almost surely, 2^412864480 is an apocalyptic number.

412864480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

412864480 is the 28735-th triangular number and also the 14368-th hexagonal number.

412864480 is the 9579-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412864480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559288800).

412864480 is an abundant number, since it is smaller than the sum of its proper divisors (705713120).

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

412864480 is a wasteful number, since it uses less digits than its factorization.

412864480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The square root of 412864480 is about 20319.0669077101. The cubic root of 412864480 is about 744.6219603569.

The spelling of 412864480 in words is "four hundred twelve million, eight hundred sixty-four thousand, four hundred eighty".