462485520 has 180 divisors, whose sum is σ = 1806898860. Its totient is φ = 105702912.

The previous prime is 462485509. The next prime is 462485521. The reversal of 462485520 is 25584264.

It is a happy number.

462485520 is a `hidden beast` number, since 4 + 62 + 48 + 552 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 171714816 + 290770704 = 13104^2 + 17052^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (462485521) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28726 + ... + 41834.

It is an arithmetic number, because the mean of its divisors is an integer number (10038327).

Almost surely, 2^462485520 is an apocalyptic number.

462485520 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 462485520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903449430).

462485520 is an abundant number, since it is smaller than the sum of its proper divisors (1344413340).

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

462485520 is a wasteful number, since it uses less digits than its factorization.

462485520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13142 (or 13126 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 462485520 is about 21505.4765118097. The cubic root of 462485520 is about 773.3321161957.

The spelling of 462485520 in words is "four hundred sixty-two million, four hundred eighty-five thousand, five hundred twenty".