462760048 has 40 divisors (see below), whose sum is σ = 953014400. Its totient is φ = 217059264.

The previous prime is 462760031. The next prime is 462760049. The reversal of 462760048 is 840067264.

It is a junction number, because it is equal to n+sod(n) for n = 462759989 and 462760016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462760049) 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 7 ways as a sum of consecutive naturals, for example, 23923 + ... + 38701.

It is an arithmetic number, because the mean of its divisors is an integer number (23825360).

Almost surely, 2^462760048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462760048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476507200).

462760048 is an abundant number, since it is smaller than the sum of its proper divisors (490254352).

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

462760048 is a wasteful number, since it uses less digits than its factorization.

462760048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14909 (or 14903 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 37.

The square root of 462760048 is about 21511.8583111734. The cubic root of 462760048 is about 773.4851006800.

The spelling of 462760048 in words is "four hundred sixty-two million, seven hundred sixty thousand, forty-eight".