466874480 has 80 divisors (see below), whose sum is σ = 1141668000. Its totient is φ = 177300480.

The previous prime is 466874413. The next prime is 466874489. The reversal of 466874480 is 84478664.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466874489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139871 + ... + 143169.

It is an arithmetic number, because the mean of its divisors is an integer number (14270850).

Almost surely, 2^466874480 is an apocalyptic number.

466874480 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 466874480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570834000).

466874480 is an abundant number, since it is smaller than the sum of its proper divisors (674793520).

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

466874480 is a wasteful number, since it uses less digits than its factorization.

466874480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3402 (or 3396 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 47.

The square root of 466874480 is about 21607.2784033529. The cubic root of 466874480 is about 775.7707102355.

The spelling of 466874480 in words is "four hundred sixty-six million, eight hundred seventy-four thousand, four hundred eighty".