462125664 has 432 divisors, whose sum is σ = 1803831120. Its totient is φ = 110315520.

The previous prime is 462125663. The next prime is 462125669. The reversal of 462125664 is 466521264.

462125664 is a `hidden beast` number, since 4 + 621 + 25 + 6 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462125663) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2017902 + ... + 2018130.

It is an arithmetic number, because the mean of its divisors is an integer number (4175535).

Almost surely, 2^462125664 is an apocalyptic number.

462125664 is a gapful number since it is divisible by the number (44) 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 462125664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901915560).

462125664 is an abundant number, since it is smaller than the sum of its proper divisors (1341705456).

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

462125664 is a wasteful number, since it uses less digits than its factorization.

462125664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 265 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 462125664 is about 21497.1082706489. The cubic root of 462125664 is about 773.1314897984.

The spelling of 462125664 in words is "four hundred sixty-two million, one hundred twenty-five thousand, six hundred sixty-four".