412864000 has 80 divisors (see below), whose sum is σ = 1029661776. Its totient is φ = 165120000.

The previous prime is 412863967. The next prime is 412864003. The reversal of 412864000 is 468214.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412864003) 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, 60775 + ... + 67225.

Almost surely, 2^412864000 is an apocalyptic number.

412864000 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 412864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514830888).

412864000 is an abundant number, since it is smaller than the sum of its proper divisors (616797776).

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

412864000 is an frugal number, since it uses more digits than its factorization.

412864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6484 (or 6458 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 412864000 is about 20319.0550961407. The cubic root of 412864000 is about 744.6216717887.

The spelling of 412864000 in words is "four hundred twelve million, eight hundred sixty-four thousand".