464543120 has 40 divisors (see below), whose sum is σ = 1106413560. Its totient is φ = 181283840.

The previous prime is 464543117. The next prime is 464543201. The reversal of 464543120 is 21345464.

It can be written as a sum of positive squares in 4 ways, for example, as 40347904 + 424195216 = 6352^2 + 20596^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67535 + ... + 74094.

It is an arithmetic number, because the mean of its divisors is an integer number (27660339).

Almost surely, 2^464543120 is an apocalyptic number.

464543120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464543120 is an abundant number, since it is smaller than the sum of its proper divisors (641870440).

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

464543120 is a wasteful number, since it uses less digits than its factorization.

464543120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141683 (or 141677 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 464543120 is about 21553.2623980687. The cubic root of 464543120 is about 774.4772722024.

Adding to 464543120 its reverse (21345464), we get a palindrome (485888584).

The spelling of 464543120 in words is "four hundred sixty-four million, five hundred forty-three thousand, one hundred twenty".