462085360 has 80 divisors (see below), whose sum is σ = 1177647840. Its totient is φ = 167224320.

The previous prime is 462085331. The next prime is 462085369. The reversal of 462085360 is 63580264.

It is a happy number.

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 (462085369) 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, 200374 + ... + 202666.

It is an arithmetic number, because the mean of its divisors is an integer number (14720598).

Almost surely, 2^462085360 is an apocalyptic number.

462085360 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 462085360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588823920).

462085360 is an abundant number, since it is smaller than the sum of its proper divisors (715562480).

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

462085360 is a wasteful number, since it uses less digits than its factorization.

462085360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2546 (or 2540 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 462085360 is about 21496.1708217999. The cubic root of 462085360 is about 773.1090130856.

The spelling of 462085360 in words is "four hundred sixty-two million, eighty-five thousand, three hundred sixty".