29070400 has 42 divisors (see below), whose sum is σ = 71535290. Its totient is φ = 11627520.

The previous prime is 29070397. The next prime is 29070403. The reversal of 29070400 is 407092.

It is an interprime number because it is at equal distance from previous prime (29070397) and next prime (29070403).

It can be written as a sum of positive squares in 3 ways, for example, as 82944 + 28987456 = 288^2 + 5384^2 .

It is not an unprimeable number, because it can be changed into a prime (29070403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7485 + ... + 10684.

Almost surely, 2^29070400 is an apocalyptic number.

29070400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29070400 is an abundant number, since it is smaller than the sum of its proper divisors (42464890).

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

29070400 is a wasteful number, since it uses less digits than its factorization.

29070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18191 (or 18176 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 29070400 is about 5391.6973208814. The cubic root of 29070400 is about 307.4800921300.

Adding to 29070400 its reverse (407092), we get a palindrome (29477492).

The spelling of 29070400 in words is "twenty-nine million, seventy thousand, four hundred".