412473600 has 864 divisors, whose sum is σ = 1946542080. Its totient is φ = 82944000.

The previous prime is 412473599. The next prime is 412473647. The reversal of 412473600 is 6374214.

412473600 is a `hidden beast` number, since 4 + 12 + 47 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13305585 + ... + 13305615.

Almost surely, 2^412473600 is an apocalyptic number.

412473600 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 412473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973271040).

412473600 is an abundant number, since it is smaller than the sum of its proper divisors (1534068480).

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

412473600 is a wasteful number, since it uses less digits than its factorization.

412473600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 412473600 is about 20309.4460781184. The cubic root of 412473600 is about 744.3868955456.

The spelling of 412473600 in words is "four hundred twelve million, four hundred seventy-three thousand, six hundred".