464475335520 has 1152 divisors, whose sum is σ = 1911650751360. Its totient is φ = 94025809920.

The previous prime is 464475335483. The next prime is 464475335551. The reversal of 464475335520 is 25533574464.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 464475335520.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 475409272 + ... + 475410248.

It is an arithmetic number, because the mean of its divisors is an integer number (1659419055).

Almost surely, 2^464475335520 is an apocalyptic number.

464475335520 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 464475335520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955825375680).

464475335520 is an abundant number, since it is smaller than the sum of its proper divisors (1447175415840).

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

464475335520 is a wasteful number, since it uses less digits than its factorization.

464475335520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 48.

The spelling of 464475335520 in words is "four hundred sixty-four billion, four hundred seventy-five million, three hundred thirty-five thousand, five hundred twenty".