464513920 has 128 divisors (see below), whose sum is σ = 1235162880. Its totient is φ = 165888000.

The previous prime is 464513893. The next prime is 464513923. The reversal of 464513920 is 29315464.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464513923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257020 + ... + 258820.

It is an arithmetic number, because the mean of its divisors is an integer number (9649710).

Almost surely, 2^464513920 is an apocalyptic number.

464513920 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 464513920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617581440).

464513920 is an abundant number, since it is smaller than the sum of its proper divisors (770648960).

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

464513920 is a wasteful number, since it uses less digits than its factorization.

464513920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1864 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 464513920 is about 21552.5849957725. The cubic root of 464513920 is about 774.4610446380.

The spelling of 464513920 in words is "four hundred sixty-four million, five hundred thirteen thousand, nine hundred twenty".