290424960 has 384 divisors, whose sum is σ = 1200009600. Its totient is φ = 66382848.

The previous prime is 290424949. The next prime is 290425007. The reversal of 290424960 is 69424092.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41489277 + ... + 41489283.

It is an arithmetic number, because the mean of its divisors is an integer number (3125025).

Almost surely, 2^290424960 is an apocalyptic number.

290424960 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 290424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600004800).

290424960 is an abundant number, since it is smaller than the sum of its proper divisors (909584640).

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

290424960 is an frugal number, since it uses more digits than its factorization.

290424960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 290424960 is about 17041.8590535188. The cubic root of 290424960 is about 662.2337537008.

The spelling of 290424960 in words is "two hundred ninety million, four hundred twenty-four thousand, nine hundred sixty".