464552160 has 192 divisors, whose sum is σ = 1580705280. Its totient is φ = 114329600.

The previous prime is 464552117. The next prime is 464552203. The reversal of 464552160 is 61255464.

It is an interprime number because it is at equal distance from previous prime (464552117) and next prime (464552203).

It is a congruent number.

It is an unprimeable number.

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, 319435 + ... + 320885.

It is an arithmetic number, because the mean of its divisors is an integer number (8232840).

Almost surely, 2^464552160 is an apocalyptic number.

464552160 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 464552160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790352640).

464552160 is an abundant number, since it is smaller than the sum of its proper divisors (1116153120).

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

464552160 is a wasteful number, since it uses less digits than its factorization.

464552160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1521 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 464552160 is about 21553.4721100801. The cubic root of 464552160 is about 774.4822959407.

The spelling of 464552160 in words is "four hundred sixty-four million, five hundred fifty-two thousand, one hundred sixty".