462226848 has 24 divisors (see below), whose sum is σ = 1213345728. Its totient is φ = 154075584.

The previous prime is 462226801. The next prime is 462226859. The reversal of 462226848 is 848622264.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2407336 + ... + 2407527.

It is an arithmetic number, because the mean of its divisors is an integer number (50556072).

Almost surely, 2^462226848 is an apocalyptic number.

462226848 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

462226848 is an abundant number, since it is smaller than the sum of its proper divisors (751118880).

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

462226848 is a wasteful number, since it uses less digits than its factorization.

462226848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4814876 (or 4814868 counting only the distinct ones).

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

The square root of 462226848 is about 21499.4615746534. The cubic root of 462226848 is about 773.1879122782.

The spelling of 462226848 in words is "four hundred sixty-two million, two hundred twenty-six thousand, eight hundred forty-eight".