462678528 has 320 divisors, whose sum is σ = 1484904960. Its totient is φ = 126615552.

The previous prime is 462678527. The next prime is 462678539. The reversal of 462678528 is 825876264.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462678521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9844201 + ... + 9844247.

It is an arithmetic number, because the mean of its divisors is an integer number (4640328).

Almost surely, 2^462678528 is an apocalyptic number.

462678528 is a gapful number since it is divisible by the number (48) 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 462678528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742452480).

462678528 is an abundant number, since it is smaller than the sum of its proper divisors (1022226432).

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

462678528 is a wasteful number, since it uses less digits than its factorization.

462678528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 111 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 48.

The square root of 462678528 is about 21509.9634588253. The cubic root of 462678528 is about 773.4396788617.

The spelling of 462678528 in words is "four hundred sixty-two million, six hundred seventy-eight thousand, five hundred twenty-eight".