290400400 has 60 divisors (see below), whose sum is σ = 706173552. Its totient is φ = 114747520.

The previous prime is 290400377. The next prime is 290400401. The reversal of 290400400 is 4004092.

290400400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (290400401) 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 11 ways as a sum of consecutive naturals, for example, 28827 + ... + 37573.

Almost surely, 2^290400400 is an apocalyptic number.

290400400 is a gapful number since it is divisible by the number (20) 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 290400400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353086776).

290400400 is an abundant number, since it is smaller than the sum of its proper divisors (415773152).

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

290400400 is a wasteful number, since it uses less digits than its factorization.

290400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8848 (or 8837 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 290400400 is about 17041.1384596218. The cubic root of 290400400 is about 662.2150857467.

Adding to 290400400 its reverse (4004092), we get a palindrome (294404492).

The spelling of 290400400 in words is "two hundred ninety million, four hundred thousand, four hundred".