464004046224 has 30 divisors (see below), whose sum is σ = 1298566879766. Its totient is φ = 154668015360.

The previous prime is 464004046217. The next prime is 464004046243. The reversal of 464004046224 is 422640400464.

464004046224 is a `hidden beast` number, since 4 + 640 + 0 + 4 + 0 + 4 + 6 + 2 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 437899827600 + 26104218624 = 661740^2 + 161568^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1611125017 + ... + 1611125304.

Almost surely, 2^464004046224 is an apocalyptic number.

It is an amenable number.

464004046224 is an abundant number, since it is smaller than the sum of its proper divisors (834562833542).

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

464004046224 is a wasteful number, since it uses less digits than its factorization.

464004046224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3222250335 (or 3222250326 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 464004046224 its reverse (422640400464), we get a palindrome (886644446688).

The spelling of 464004046224 in words is "four hundred sixty-four billion, four million, forty-six thousand, two hundred twenty-four".