462082080 has 48 divisors (see below), whose sum is σ = 1455560064. Its totient is φ = 123221760.

The previous prime is 462082069. The next prime is 462082087. The reversal of 462082080 is 80280264.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (462082087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 480856 + ... + 481815.

It is an arithmetic number, because the mean of its divisors is an integer number (30324168).

Almost surely, 2^462082080 is an apocalyptic number.

462082080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

462082080 is an abundant number, since it is smaller than the sum of its proper divisors (993477984).

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

462082080 is a wasteful number, since it uses less digits than its factorization.

462082080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962689 (or 962681 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 462082080 is about 21496.0945290069. The cubic root of 462082080 is about 773.1071838395.

The spelling of 462082080 in words is "four hundred sixty-two million, eighty-two thousand, eighty".