462648840 has 64 divisors (see below), whose sum is σ = 1389398400. Its totient is φ = 123244032.

The previous prime is 462648821. The next prime is 462648853. The reversal of 462648840 is 48846264.

It is a junction number, because it is equal to n+sod(n) for n = 462648792 and 462648801.

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, 185844 + ... + 188316.

It is an arithmetic number, because the mean of its divisors is an integer number (21709350).

Almost surely, 2^462648840 is an apocalyptic number.

462648840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

462648840 is an abundant number, since it is smaller than the sum of its proper divisors (926749560).

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

462648840 is a wasteful number, since it uses less digits than its factorization.

462648840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4046 (or 4042 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The square root of 462648840 is about 21509.2733489535. The cubic root of 462648840 is about 773.4231357928.

The spelling of 462648840 in words is "four hundred sixty-two million, six hundred forty-eight thousand, eight hundred forty".