464139564480 has 672 divisors, whose sum is σ = 1708977414144. Its totient is φ = 119830523904.

The previous prime is 464139564479. The next prime is 464139564487. The reversal of 464139564480 is 84465931464.

464139564480 is a `hidden beast` number, since 4 + 6 + 4 + 1 + 39 + 564 + 48 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464139564487) 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, 424646814 + ... + 424647906.

It is an arithmetic number, because the mean of its divisors is an integer number (2543121152).

Almost surely, 2^464139564480 is an apocalyptic number.

464139564480 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 464139564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (854488707072).

464139564480 is an abundant number, since it is smaller than the sum of its proper divisors (1244837849664).

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

464139564480 is a wasteful number, since it uses less digits than its factorization.

464139564480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 464139564480 in words is "four hundred sixty-four billion, one hundred thirty-nine million, five hundred sixty-four thousand, four hundred eighty".