466764480 has 504 divisors, whose sum is σ = 2001328992. Its totient is φ = 97763328.

The previous prime is 466764451. The next prime is 466764491. The reversal of 466764480 is 84467664.

466764480 is a `hidden beast` number, since 466 + 76 + 44 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3406972 + ... + 3407108.

Almost surely, 2^466764480 is an apocalyptic number.

466764480 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 466764480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000664496).

466764480 is an abundant number, since it is smaller than the sum of its proper divisors (1534564512).

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

466764480 is a wasteful number, since it uses less digits than its factorization.

466764480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 466764480 is about 21604.7328148256. The cubic root of 466764480 is about 775.7097791683.

The spelling of 466764480 in words is "four hundred sixty-six million, seven hundred sixty-four thousand, four hundred eighty".