462990528 has 504 divisors, whose sum is σ = 1819903904. Its totient is φ = 109486080.

The previous prime is 462990497. The next prime is 462990557. The reversal of 462990528 is 825099264.

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 6342300 + ... + 6342372.

Almost surely, 2^462990528 is an apocalyptic number.

462990528 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 462990528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909951952).

462990528 is an abundant number, since it is smaller than the sum of its proper divisors (1356913376).

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

462990528 is a wasteful number, since it uses less digits than its factorization.

462990528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 462990528 is about 21517.2146896386. The cubic root of 462990528 is about 773.6134920989.

The spelling of 462990528 in words is "four hundred sixty-two million, nine hundred ninety thousand, five hundred twenty-eight".