412464000 has 256 divisors, whose sum is σ = 1474724160. Its totient is φ = 101376000.

The previous prime is 412463999. The next prime is 412464001. The reversal of 412464000 is 464214.

It is an interprime number because it is at equal distance from previous prime (412463999) and next prime (412464001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412464001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 623670 + ... + 624330.

Almost surely, 2^412464000 is an apocalyptic number.

412464000 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 412464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737362080).

412464000 is an abundant number, since it is smaller than the sum of its proper divisors (1062260160).

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

412464000 is a wasteful number, since it uses less digits than its factorization.

412464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 412464000 is about 20309.2097335175. The cubic root of 412464000 is about 744.3811204934.

The spelling of 412464000 in words is "four hundred twelve million, four hundred sixty-four thousand".