466027100800 has 48 divisors (see below), whose sum is σ = 1151232580350. Its totient is φ = 186410839040.

The previous prime is 466027100753. The next prime is 466027100809. The reversal of 466027100800 is 8001720664.

It can be written as a sum of positive squares in 3 ways, for example, as 431796180544 + 34230920256 = 657112^2 + 185016^2 .

It is not an unprimeable number, because it can be changed into a prime (466027100809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72813535 + ... + 72819934.

Almost surely, 2^466027100800 is an apocalyptic number.

466027100800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

466027100800 is an abundant number, since it is smaller than the sum of its proper divisors (685205479550).

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

466027100800 is a wasteful number, since it uses less digits than its factorization.

466027100800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145633493 (or 145633476 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The spelling of 466027100800 in words is "four hundred sixty-six billion, twenty-seven million, one hundred thousand, eight hundred".