464045120 has 224 divisors, whose sum is σ = 1417685760. Its totient is φ = 140451840.

The previous prime is 464045069. The next prime is 464045129. The reversal of 464045120 is 21540464.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 464045120.

It is not an unprimeable number, because it can be changed into a prime (464045129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 911426 + ... + 911934.

Almost surely, 2^464045120 is an apocalyptic number.

464045120 is a gapful number since it is divisible by the number (40) 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 464045120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708842880).

464045120 is an abundant number, since it is smaller than the sum of its proper divisors (953640640).

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

464045120 is a wasteful number, since it uses less digits than its factorization.

464045120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 464045120 is about 21541.7065247858. The cubic root of 464045120 is about 774.2004212711.

Adding to 464045120 its reverse (21540464), we get a palindrome (485585584).

The spelling of 464045120 in words is "four hundred sixty-four million, forty-five thousand, one hundred twenty".