290031264 has 72 divisors (see below), whose sum is σ = 840382452. Its totient is φ = 94848000.

The previous prime is 290031223. The next prime is 290031283. The reversal of 290031264 is 462130092.

290031264 is a `hidden beast` number, since 290 + 0 + 312 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 288320400 + 1710864 = 16980^2 + 1308^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5764 + ... + 24764.

Almost surely, 2^290031264 is an apocalyptic number.

290031264 is a gapful number since it is divisible by the number (24) 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 290031264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420191226).

290031264 is an abundant number, since it is smaller than the sum of its proper divisors (550351188).

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

290031264 is a wasteful number, since it uses less digits than its factorization.

290031264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19070 (or 19059 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 290031264 is about 17030.3042838347. The cubic root of 290031264 is about 661.9343801236.

The spelling of 290031264 in words is "two hundred ninety million, thirty-one thousand, two hundred sixty-four".