464779032480 has 768 divisors, whose sum is σ = 1912522752000. Its totient is φ = 103225909248.

The previous prime is 464779032451. The next prime is 464779032503. The reversal of 464779032480 is 84230977464.

464779032480 is a `hidden beast` number, since 4 + 6 + 4 + 77 + 90 + 3 + 2 + 480 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 158788777 + ... + 158791703.

It is an arithmetic number, because the mean of its divisors is an integer number (2490264000).

Almost surely, 2^464779032480 is an apocalyptic number.

464779032480 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 464779032480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956261376000).

464779032480 is an abundant number, since it is smaller than the sum of its proper divisors (1447743719520).

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

464779032480 is a wasteful number, since it uses less digits than its factorization.

464779032480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3106 (or 3092 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

It can be divided in two parts, 4647790 and 32480, that added together give a triangular number (4680270 = T₃₀₅₉).

The spelling of 464779032480 in words is "four hundred sixty-four billion, seven hundred seventy-nine million, thirty-two thousand, four hundred eighty".