462465320 has 64 divisors (see below), whose sum is σ = 1133136000. Its totient is φ = 169198848.

The previous prime is 462465313. The next prime is 462465337. The reversal of 462465320 is 23564264.

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, 11549 + ... + 32531.

It is an arithmetic number, because the mean of its divisors is an integer number (17705250).

Almost surely, 2^462465320 is an apocalyptic number.

462465320 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 462465320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566568000).

462465320 is an abundant number, since it is smaller than the sum of its proper divisors (670670680).

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

462465320 is a wasteful number, since it uses less digits than its factorization.

462465320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21042 (or 21038 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The square root of 462465320 is about 21505.0068588689. The cubic root of 462465320 is about 773.3208570784.

The spelling of 462465320 in words is "four hundred sixty-two million, four hundred sixty-five thousand, three hundred twenty".