290768400 has 480 divisors, whose sum is σ = 1183952000. Its totient is φ = 67184640.

The previous prime is 290768383. The next prime is 290768407. The reversal of 290768400 is 4867092.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (290768407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2667546 + ... + 2667654.

Almost surely, 2^290768400 is an apocalyptic number.

290768400 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 290768400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591976000).

290768400 is an abundant number, since it is smaller than the sum of its proper divisors (893183600).

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

290768400 is a wasteful number, since it uses less digits than its factorization.

290768400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 290768400 is about 17051.9324418085. The cubic root of 290768400 is about 662.4946908320.

The spelling of 290768400 in words is "two hundred ninety million, seven hundred sixty-eight thousand, four hundred".