464285086720 has 704 divisors, whose sum is σ = 1414320445440. Its totient is φ = 142361100288.

The previous prime is 464285086693. The next prime is 464285086729. The reversal of 464285086720 is 27680582464.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464285086729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3340180411 + ... + 3340180549.

Almost surely, 2^464285086720 is an apocalyptic number.

464285086720 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 464285086720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707160222720).

464285086720 is an abundant number, since it is smaller than the sum of its proper divisors (950035358720).

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

464285086720 is a wasteful number, since it uses less digits than its factorization.

464285086720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 52.

The spelling of 464285086720 in words is "four hundred sixty-four billion, two hundred eighty-five million, eighty-six thousand, seven hundred twenty".