290052864 has 162 divisors, whose sum is σ = 870737868. Its totient is φ = 92851200.

The previous prime is 290052863. The next prime is 290052881. The reversal of 290052864 is 468250092.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (290052863) 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 17 ways as a sum of consecutive naturals, for example, 2214079 + ... + 2214209.

Almost surely, 2^290052864 is an apocalyptic number.

290052864 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 290052864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435368934).

290052864 is an abundant number, since it is smaller than the sum of its proper divisors (580685004).

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

290052864 is a wasteful number, since it uses less digits than its factorization.

290052864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 290052864 is about 17030.9384356823. The cubic root of 290052864 is about 661.9508121770.

The spelling of 290052864 in words is "two hundred ninety million, fifty-two thousand, eight hundred sixty-four".