462456048 has 40 divisors (see below), whose sum is σ = 1257558400. Its totient is φ = 146038464.

The previous prime is 462456041. The next prime is 462456053. The reversal of 462456048 is 840654264.

It is a junction number, because it is equal to n+sod(n) for n = 462455997 and 462456015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462456041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 252628 + ... + 254451.

It is an arithmetic number, because the mean of its divisors is an integer number (31438960).

Almost surely, 2^462456048 is an apocalyptic number.

462456048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

462456048 is an abundant number, since it is smaller than the sum of its proper divisors (795102352).

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

462456048 is a wasteful number, since it uses less digits than its factorization.

462456048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507109 (or 507103 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 39.

The square root of 462456048 is about 21504.7912800845. The cubic root of 462456048 is about 773.3156889223.

The spelling of 462456048 in words is "four hundred sixty-two million, four hundred fifty-six thousand, forty-eight".