290513952 has 240 divisors, whose sum is σ = 955009440. Its totient is φ = 86095872.

The previous prime is 290513947. The next prime is 290513959. The reversal of 290513952 is 259315092.

It is a happy number.

290513952 is a `hidden beast` number, since 2 + 90 + 513 + 9 + 52 = 666.

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 (290513959) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 837043 + ... + 837389.

It is an arithmetic number, because the mean of its divisors is an integer number (3979206).

Almost surely, 2^290513952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 290513952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477504720).

290513952 is an abundant number, since it is smaller than the sum of its proper divisors (664495488).

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

290513952 is a wasteful number, since it uses less digits than its factorization.

290513952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 290513952 is about 17044.4698362841. The cubic root of 290513952 is about 662.3013873365.

The spelling of 290513952 in words is "two hundred ninety million, five hundred thirteen thousand, nine hundred fifty-two".