412652800 has 216 divisors, whose sum is σ = 1194284672. Its totient is φ = 138240000.

The previous prime is 412652797. The next prime is 412652813. The reversal of 412652800 is 8256214.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2732725 + ... + 2732875.

Almost surely, 2^412652800 is an apocalyptic number.

412652800 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 412652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597142336).

412652800 is an abundant number, since it is smaller than the sum of its proper divisors (781631872).

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

412652800 is a wasteful number, since it uses less digits than its factorization.

412652800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 412652800 is about 20313.8573392647. The cubic root of 412652800 is about 744.4946800749.

The spelling of 412652800 in words is "four hundred twelve million, six hundred fifty-two thousand, eight hundred".