466720000 has 90 divisors (see below), whose sum is σ = 1164547538. Its totient is φ = 186624000.

The previous prime is 466719959. The next prime is 466720021. The reversal of 466720000 is 27664.

It can be written as a sum of positive squares in 5 ways, for example, as 41370624 + 425349376 = 6432^2 + 20624^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 158542 + ... + 161458.

Almost surely, 2^466720000 is an apocalyptic number.

466720000 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 466720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582273769).

466720000 is an abundant number, since it is smaller than the sum of its proper divisors (697827538).

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

466720000 is an frugal number, since it uses more digits than its factorization.

466720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2953 (or 2924 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 466720000 is about 21603.7033862252. The cubic root of 466720000 is about 775.6851381423.

Adding to 466720000 its reverse (27664), we get a palindrome (466747664).

The spelling of 466720000 in words is "four hundred sixty-six million, seven hundred twenty thousand".