464071680 has 264 divisors, whose sum is σ = 1672022352. Its totient is φ = 123420672.

The previous prime is 464071651. The next prime is 464071739. The reversal of 464071680 is 86170464.

464071680 is a `hidden beast` number, since 4 + 640 + 7 + 1 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1243974 + ... + 1244346.

It is an arithmetic number, because the mean of its divisors is an integer number (6333418).

Almost surely, 2^464071680 is an apocalyptic number.

464071680 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 464071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836011176).

464071680 is an abundant number, since it is smaller than the sum of its proper divisors (1207950672).

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

464071680 is an equidigital number, since it uses as much as digits as its factorization.

464071680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 464071680 is about 21542.3229945148. The cubic root of 464071680 is about 774.2151916530.

The spelling of 464071680 in words is "four hundred sixty-four million, seventy-one thousand, six hundred eighty".