412475600 has 30 divisors (see below), whose sum is σ = 990973590. Its totient is φ = 164990080.

The previous prime is 412475599. The next prime is 412475653. The reversal of 412475600 is 6574214.

It can be written as a sum of positive squares in 3 ways, for example, as 44142736 + 368332864 = 6644^2 + 19192^2 .

It is a super-2 number, since 2×412475600² = 340272241190720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 515195 + ... + 515994.

It is an arithmetic number, because the mean of its divisors is an integer number (33032453).

Almost surely, 2^412475600 is an apocalyptic number.

412475600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412475600 is an abundant number, since it is smaller than the sum of its proper divisors (578497990).

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

412475600 is a wasteful number, since it uses less digits than its factorization.

412475600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1031207 (or 1031196 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 412475600 is about 20309.4953162308. The cubic root of 412475600 is about 744.3880986701.

The spelling of 412475600 in words is "four hundred twelve million, four hundred seventy-five thousand, six hundred".