70405200 has 300 divisors, whose sum is σ = 263725308. Its totient is φ = 17971200.

The previous prime is 70405193. The next prime is 70405207. The reversal of 70405200 is 250407.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (70405193) and next prime (70405207).

It can be written as a sum of positive squares in 6 ways, for example, as 6533136 + 63872064 = 2556^2 + 7992^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70405207) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1328374 + ... + 1328426.

Almost surely, 2^70405200 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 70405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131862654).

70405200 is an abundant number, since it is smaller than the sum of its proper divisors (193320108).

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

70405200 is a wasteful number, since it uses less digits than its factorization.

70405200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 70405200 is about 8390.7806549808. The cubic root of 70405200 is about 412.9222123273.

Adding to 70405200 its reverse (250407), we get a palindrome (70655607).

The spelling of 70405200 in words is "seventy million, four hundred five thousand, two hundred".