466624001560 has 128 divisors (see below), whose sum is σ = 1115534851200. Its totient is φ = 175059763200.

The previous prime is 466624001533. The next prime is 466624001561. The reversal of 466624001560 is 65100426664.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466624001561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 388528960 + ... + 388530160.

It is an arithmetic number, because the mean of its divisors is an integer number (8715116025).

Almost surely, 2^466624001560 is an apocalyptic number.

466624001560 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 466624001560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557767425600).

466624001560 is an abundant number, since it is smaller than the sum of its proper divisors (648910849640).

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

466624001560 is a wasteful number, since it uses less digits than its factorization.

466624001560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2741 (or 2737 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 466624001560 in words is "four hundred sixty-six billion, six hundred twenty-four million, one thousand, five hundred sixty".