464996560 has 80 divisors (see below), whose sum is σ = 1258955136. Its totient is φ = 156409344.

The previous prime is 464996551. The next prime is 464996569. The reversal of 464996560 is 65699464.

It is an interprime number because it is at equal distance from previous prime (464996551) and next prime (464996569).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464996569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21847 + ... + 37513.

Almost surely, 2^464996560 is an apocalyptic number.

464996560 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 464996560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629477568).

464996560 is an abundant number, since it is smaller than the sum of its proper divisors (793958576).

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

464996560 is a wasteful number, since it uses less digits than its factorization.

464996560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15740 (or 15734 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 49.

The square root of 464996560 is about 21563.7788896102. The cubic root of 464996560 is about 774.7291790469.

The spelling of 464996560 in words is "four hundred sixty-four million, nine hundred ninety-six thousand, five hundred sixty".