466772208 has 160 divisors (see below), whose sum is σ = 1458573312. Its totient is φ = 125798400.

The previous prime is 466772149. The next prime is 466772209. The reversal of 466772208 is 802277664.

It is a super-2 number, since 2×466772208² = 435752588322390528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 466772208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466772209) 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, 426510 + ... + 427602.

Almost surely, 2^466772208 is an apocalyptic number.

466772208 is a gapful number since it is divisible by the number (48) 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 466772208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729286656).

466772208 is an abundant number, since it is smaller than the sum of its proper divisors (991801104).

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

466772208 is a wasteful number, since it uses less digits than its factorization.

466772208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 466772208 is about 21604.9116637861. The cubic root of 466772208 is about 775.7140601654.

The spelling of 466772208 in words is "four hundred sixty-six million, seven hundred seventy-two thousand, two hundred eight".