290400000 has 324 divisors, whose sum is σ = 1061853912. Its totient is φ = 70400000.

The previous prime is 290399987. The next prime is 290400017. The reversal of 290400000 is 4092.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 26399995 + ... + 26400005.

Almost surely, 2^290400000 is an apocalyptic number.

290400000 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 290400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530926956).

290400000 is an abundant number, since it is smaller than the sum of its proper divisors (771453912).

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

290400000 is an frugal number, since it uses more digits than its factorization.

290400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 290400000 is about 17041.1267233126. The cubic root of 290400000 is about 662.2147816997.

Multiplying 290400000 by its sum of digits (15), we get a square (4356000000 = 66000²).

290400000 divided by its sum of digits (15) gives a square (19360000 = 4400²).

Adding to 290400000 its reverse (4092), we get a palindrome (290404092).

The spelling of 290400000 in words is "two hundred ninety million, four hundred thousand".