290396400 has 240 divisors, whose sum is σ = 1074597888. Its totient is φ = 65664000.

The previous prime is 290396389. The next prime is 290396423. The reversal of 290396400 is 4693092.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1520305 + ... + 1520495.

Almost surely, 2^290396400 is an apocalyptic number.

290396400 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 290396400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537298944).

290396400 is an abundant number, since it is smaller than the sum of its proper divisors (784201488).

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

290396400 is a wasteful number, since it uses less digits than its factorization.

290396400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 290396400 is about 17041.0210961667. The cubic root of 290396400 is about 662.2120452636.

The spelling of 290396400 in words is "two hundred ninety million, three hundred ninety-six thousand, four hundred".