290947872 has 96 divisors (see below), whose sum is σ = 793122624. Its totient is φ = 93312000.

The previous prime is 290947871. The next prime is 290947879. The reversal of 290947872 is 278749092.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (290947871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 358347 + ... + 359157.

It is an arithmetic number, because the mean of its divisors is an integer number (8261694).

Almost surely, 2^290947872 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 290947872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396561312).

290947872 is an abundant number, since it is smaller than the sum of its proper divisors (502174752).

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

290947872 is a wasteful number, since it uses less digits than its factorization.

290947872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 290947872 is about 17057.1941420622. The cubic root of 290947872 is about 662.6309674387.

The spelling of 290947872 in words is "two hundred ninety million, nine hundred forty-seven thousand, eight hundred seventy-two".