290172960 has 288 divisors, whose sum is σ = 1235025792. Its totient is φ = 60272640.

The previous prime is 290172943. The next prime is 290172977. The reversal of 290172960 is 69271092.

It is an interprime number because it is at equal distance from previous prime (290172943) and next prime (290172977).

It is a tau number, because it is divible by the number of its divisors (288).

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

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, 109572 + ... + 112188.

It is an arithmetic number, because the mean of its divisors is an integer number (4288284).

Almost surely, 2^290172960 is an apocalyptic number.

290172960 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 290172960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617512896).

290172960 is an abundant number, since it is smaller than the sum of its proper divisors (944852832).

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

290172960 is a wasteful number, since it uses less digits than its factorization.

290172960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2656 (or 2645 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 290172960 is about 17034.4638894214. The cubic root of 290172960 is about 662.0421595199.

The spelling of 290172960 in words is "two hundred ninety million, one hundred seventy-two thousand, nine hundred sixty".