412651800 has 192 divisors, whose sum is σ = 1550793600. Its totient is φ = 100022400.

The previous prime is 412651783. The next prime is 412651801. The reversal of 412651800 is 8156214.

412651800 is a `hidden beast` number, since 4 + 1 + 2 + 651 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412651801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55927 + ... + 62873.

It is an arithmetic number, because the mean of its divisors is an integer number (8077050).

Almost surely, 2^412651800 is an apocalyptic number.

412651800 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 412651800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775396800).

412651800 is an abundant number, since it is smaller than the sum of its proper divisors (1138141800).

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

412651800 is a wasteful number, since it uses less digits than its factorization.

412651800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6983 (or 6968 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 412651800 is about 20313.8327255100. The cubic root of 412651800 is about 744.4940786853.

The spelling of 412651800 in words is "four hundred twelve million, six hundred fifty-one thousand, eight hundred".