290025120 has 576 divisors, whose sum is σ = 1241049600. Its totient is φ = 56125440.

The previous prime is 290025079. The next prime is 290025121. The reversal of 290025120 is 21520092.

It is a super-2 number, since 2×290025120² = 168229140462028800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290025121) 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, 4915651 + ... + 4915709.

It is an arithmetic number, because the mean of its divisors is an integer number (2154600).

Almost surely, 2^290025120 is an apocalyptic number.

290025120 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 290025120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620524800).

290025120 is an abundant number, since it is smaller than the sum of its proper divisors (951024480).

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

290025120 is a wasteful number, since it uses less digits than its factorization.

290025120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 290025120 is about 17030.1238985511. The cubic root of 290025120 is about 661.9297059682.

The spelling of 290025120 in words is "two hundred ninety million, twenty-five thousand, one hundred twenty".