853070400 has 1008 divisors, whose sum is σ = 4021409280. Its totient is φ = 174182400.

The previous prime is 853070399. The next prime is 853070419. The reversal of 853070400 is 4070358.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27518385 + ... + 27518415.

Almost surely, 2^853070400 is an apocalyptic number.

853070400 is a gapful number since it is divisible by the number (80) 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 853070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2010704640).

853070400 is an abundant number, since it is smaller than the sum of its proper divisors (3168338880).

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

853070400 is a wasteful number, since it uses less digits than its factorization.

853070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 853070400 is about 29207.3689331990. The cubic root of 853070400 is about 948.4074518344.

The spelling of 853070400 in words is "eight hundred fifty-three million, seventy thousand, four hundred".