70394400 has 144 divisors (see below), whose sum is σ = 254671200. Its totient is φ = 18766080.

The previous prime is 70394393. The next prime is 70394407. The reversal of 70394400 is 449307.

It is an interprime number because it is at equal distance from previous prime (70394393) and next prime (70394407).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (70394407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19971 + ... + 23229.

It is an arithmetic number, because the mean of its divisors is an integer number (1768550).

Almost surely, 2^70394400 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 70394400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127335600).

70394400 is an abundant number, since it is smaller than the sum of its proper divisors (184276800).

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

70394400 is a wasteful number, since it uses less digits than its factorization.

70394400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3288 (or 3269 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 70394400 is about 8390.1370668184. The cubic root of 70394400 is about 412.9010974668.

The spelling of 70394400 in words is "seventy million, three hundred ninety-four thousand, four hundred".