464367520 has 48 divisors (see below), whose sum is σ = 1120428288. Its totient is φ = 181792000.

The previous prime is 464367439. The next prime is 464367551. The reversal of 464367520 is 25763464.

It is a self number, because there is not a number n which added to its sum of digits gives 464367520.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 23356 + ... + 38395.

It is an arithmetic number, because the mean of its divisors is an integer number (23342256).

Almost surely, 2^464367520 is an apocalyptic number.

464367520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464367520 is an abundant number, since it is smaller than the sum of its proper divisors (656060768).

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

464367520 is a wasteful number, since it uses less digits than its factorization.

464367520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61813 (or 61805 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 37.

The square root of 464367520 is about 21549.1883837884. The cubic root of 464367520 is about 774.3796742667.

It can be divided in two parts, 46436 and 7520, that added together give a triangular number (53956 = T₃₂₈).

The spelling of 464367520 in words is "four hundred sixty-four million, three hundred sixty-seven thousand, five hundred twenty".