462082280 has 128 divisors (see below), whose sum is σ = 1233100800. Its totient is φ = 153964800.

The previous prime is 462082279. The next prime is 462082339. The reversal of 462082280 is 82280264.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 258269 + ... + 260051.

It is an arithmetic number, because the mean of its divisors is an integer number (9633600).

Almost surely, 2^462082280 is an apocalyptic number.

462082280 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 462082280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616550400).

462082280 is an abundant number, since it is smaller than the sum of its proper divisors (771018520).

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

462082280 is a wasteful number, since it uses less digits than its factorization.

462082280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1855 (or 1851 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 462082280 is about 21496.0991810142. The cubic root of 462082280 is about 773.1072953791.

The spelling of 462082280 in words is "four hundred sixty-two million, eighty-two thousand, two hundred eighty".