412461600 has 144 divisors (see below), whose sum is σ = 1358350560. Its totient is φ = 108697600.

The previous prime is 412461593. The next prime is 412461601. The reversal of 412461600 is 6164214.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (412461601) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 212635 + ... + 214565.

It is an arithmetic number, because the mean of its divisors is an integer number (9432990).

Almost surely, 2^412461600 is an apocalyptic number.

412461600 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 412461600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679175280).

412461600 is an abundant number, since it is smaller than the sum of its proper divisors (945888960).

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

412461600 is a wasteful number, since it uses less digits than its factorization.

412461600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2043 (or 2030 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 412461600 is about 20309.1506469375. The cubic root of 412461600 is about 744.3796767164.

The spelling of 412461600 in words is "four hundred twelve million, four hundred sixty-one thousand, six hundred".