462564410880 has 960 divisors, whose sum is σ = 1766294449920. Its totient is φ = 102363955200.

The previous prime is 462564410873. The next prime is 462564410887. The reversal of 462564410880 is 88014465264.

It is an interprime number because it is at equal distance from previous prime (462564410873) and next prime (462564410887).

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×462564410880² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462564410887) 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 95 ways as a sum of consecutive naturals, for example, 2555604390 + ... + 2555604570.

It is an arithmetic number, because the mean of its divisors is an integer number (1839890052).

Almost surely, 2^462564410880 is an apocalyptic number.

462564410880 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 462564410880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883147224960).

462564410880 is an abundant number, since it is smaller than the sum of its proper divisors (1303730039040).

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

462564410880 is a wasteful number, since it uses less digits than its factorization.

462564410880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The spelling of 462564410880 in words is "four hundred sixty-two billion, five hundred sixty-four million, four hundred ten thousand, eight hundred eighty".