462478848 has 320 divisors, whose sum is σ = 1484904960. Its totient is φ = 126517248.

The previous prime is 462478847. The next prime is 462478853. The reversal of 462478848 is 848874264.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 462478848.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462478843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8725990 + ... + 8726042.

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

Almost surely, 2^462478848 is an apocalyptic number.

462478848 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 462478848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742452480).

462478848 is an abundant number, since it is smaller than the sum of its proper divisors (1022426112).

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

462478848 is a wasteful number, since it uses less digits than its factorization.

462478848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 113 counting only the distinct ones).

The product of its digits is 2752512, while the sum is 51.

The square root of 462478848 is about 21505.3213879728. The cubic root of 462478848 is about 773.3283973790.

The spelling of 462478848 in words is "four hundred sixty-two million, four hundred seventy-eight thousand, eight hundred forty-eight".