70406400 has 216 divisors, whose sum is σ = 245852320. Its totient is φ = 17694720.

The previous prime is 70406359. The next prime is 70406417. The reversal of 70406400 is 460407.

It is a super-2 number, since 2×70406400² = 9914122321920000, which contains 22 as substring.

It is an unprimeable number.

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, 364704 + ... + 364896.

Almost surely, 2^70406400 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 70406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122926160).

70406400 is an abundant number, since it is smaller than the sum of its proper divisors (175445920).

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

70406400 is a wasteful number, since it uses less digits than its factorization.

70406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 70406400 is about 8390.8521617295. The cubic root of 70406400 is about 412.9245582896.

Adding to 70406400 its reverse (460407), we get a palindrome (70866807).

The spelling of 70406400 in words is "seventy million, four hundred six thousand, four hundred".