228480406464 has 56 divisors (see below), whose sum is σ = 604568361600. Its totient is φ = 76154178304.

The previous prime is 228480406463. The next prime is 228480406493. The reversal of 228480406464 is 464604084822.

228480406464 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×228480406464² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228480406463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2898517 + ... + 2976299.

It is an arithmetic number, because the mean of its divisors is an integer number (10795863600).

Almost surely, 2^228480406464 is an apocalyptic number.

228480406464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

228480406464 is an abundant number, since it is smaller than the sum of its proper divisors (376087955136).

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

228480406464 is a wasteful number, since it uses less digits than its factorization.

228480406464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93097 (or 93087 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 48.

The spelling of 228480406464 in words is "two hundred twenty-eight billion, four hundred eighty million, four hundred six thousand, four hundred sixty-four".