853078464 has 168 divisors, whose sum is σ = 2916326400. Its totient is φ = 233114112.

The previous prime is 853078451. The next prime is 853078477. The reversal of 853078464 is 464870358.

853078464 is a `hidden beast` number, since 8 + 530 + 78 + 46 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (853078451) and next prime (853078477).

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88137 + ... + 97335.

Almost surely, 2^853078464 is an apocalyptic number.

853078464 is a gapful number since it is divisible by the number (84) 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 853078464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458163200).

853078464 is an abundant number, since it is smaller than the sum of its proper divisors (2063247936).

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

853078464 is a wasteful number, since it uses less digits than its factorization.

853078464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9247 (or 9234 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 853078464 is about 29207.5069802268. The cubic root of 853078464 is about 948.4104402292.

The spelling of 853078464 in words is "eight hundred fifty-three million, seventy-eight thousand, four hundred sixty-four".