466249000 has 128 divisors (see below), whose sum is σ = 1276704000. Its totient is φ = 156038400.

The previous prime is 466248983. The next prime is 466249001. The reversal of 466249000 is 942664.

It is not an unprimeable number, because it can be changed into a prime (466249001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300226 + ... + 301774.

It is an arithmetic number, because the mean of its divisors is an integer number (9974250).

Almost surely, 2^466249000 is an apocalyptic number.

466249000 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 466249000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638352000).

466249000 is an abundant number, since it is smaller than the sum of its proper divisors (810455000).

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

466249000 is a wasteful number, since it uses less digits than its factorization.

466249000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1620 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 466249000 is about 21592.7997258345. The cubic root of 466249000 is about 775.4241174958.

The spelling of 466249000 in words is "four hundred sixty-six million, two hundred forty-nine thousand".