290420520 has 256 divisors, whose sum is σ = 1018967040. Its totient is φ = 65568768.

The previous prime is 290420489. The next prime is 290420521. The reversal of 290420520 is 25024092.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (290420521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1246324 + ... + 1246556.

It is an arithmetic number, because the mean of its divisors is an integer number (3980340).

Almost surely, 2^290420520 is an apocalyptic number.

290420520 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 290420520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509483520).

290420520 is an abundant number, since it is smaller than the sum of its proper divisors (728546520).

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

290420520 is a wasteful number, since it uses less digits than its factorization.

290420520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 290420520 is about 17041.7287855429. The cubic root of 290420520 is about 662.2303789532.

The spelling of 290420520 in words is "two hundred ninety million, four hundred twenty thousand, five hundred twenty".