466452480 has 256 divisors, whose sum is σ = 1629462240. Its totient is φ = 113246208.

The previous prime is 466452473. The next prime is 466452491. The reversal of 466452480 is 84254664.

It is a tau number, because it is divible by the number of its divisors (256).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6389724 + ... + 6389796.

Almost surely, 2^466452480 is an apocalyptic number.

466452480 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 466452480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814731120).

466452480 is an abundant number, since it is smaller than the sum of its proper divisors (1163009760).

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

466452480 is an equidigital number, since it uses as much as digits as its factorization.

466452480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The square root of 466452480 is about 21597.5109677018. The cubic root of 466452480 is about 775.5369044057.

The spelling of 466452480 in words is "four hundred sixty-six million, four hundred fifty-two thousand, four hundred eighty".