464105027280384 has 960 divisors, whose sum is σ = 1572297132257280. Its totient is φ = 129054945116160.

The previous prime is 464105027280347. The next prime is 464105027280413. The reversal of 464105027280384 is 483082720501464.

464105027280384 is a `hidden beast` number, since 4 + 6 + 410 + 5 + 0 + 2 + 72 + 80 + 3 + 84 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 464105027280384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 293180686057 + ... + 293180687639.

It is an arithmetic number, because the mean of its divisors is an integer number (1637809512768).

Almost surely, 2^{464105027280384} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464105027280384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786148566128640).

464105027280384 is an abundant number, since it is smaller than the sum of its proper divisors (1108192104976896).

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

464105027280384 is a wasteful number, since it uses less digits than its factorization.

464105027280384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3151 (or 3132 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 464105027280384 in words is "four hundred sixty-four trillion, one hundred five billion, twenty-seven million, two hundred eighty thousand, three hundred eighty-four".