290040264 has 160 divisors (see below), whose sum is σ = 871504920. Its totient is φ = 89800704.

The previous prime is 290040259. The next prime is 290040269. The reversal of 290040264 is 462040092.

It is an interprime number because it is at equal distance from previous prime (290040259) and next prime (290040269).

It can be written as a sum of positive squares in 4 ways, for example, as 161036100 + 129004164 = 12690^2 + 11358^2 .

It is a super-3 number, since 3×290040264³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (290040269) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1244692 + ... + 1244924.

Almost surely, 2^290040264 is an apocalyptic number.

290040264 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 290040264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435752460).

290040264 is an abundant number, since it is smaller than the sum of its proper divisors (581464656).

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

290040264 is a wasteful number, since it uses less digits than its factorization.

290040264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 290040264 is about 17030.5685166409. The cubic root of 290040264 is about 661.9412269117.

The spelling of 290040264 in words is "two hundred ninety million, forty thousand, two hundred sixty-four".