466452000 has 384 divisors, whose sum is σ = 1943585280. Its totient is φ = 106444800.

The previous prime is 466451981. The next prime is 466452011. The reversal of 466452000 is 254664.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 755692 + ... + 756308.

It is an arithmetic number, because the mean of its divisors is an integer number (5061420).

Almost surely, 2^466452000 is an apocalyptic number.

466452000 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 466452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971792640).

466452000 is an abundant number, since it is smaller than the sum of its proper divisors (1477133280).

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

466452000 is a wasteful number, since it uses less digits than its factorization.

466452000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 466452000 is about 21597.4998553073. The cubic root of 466452000 is about 775.5366383851.

The spelling of 466452000 in words is "four hundred sixty-six million, four hundred fifty-two thousand".