296490240 has 288 divisors, whose sum is σ = 1100816640. Its totient is φ = 75423744.

The previous prime is 296490221. The next prime is 296490277. The reversal of 296490240 is 42094692.

296490240 is a `hidden beast` number, since 2 + 9 + 649 + 0 + 2 + 4 + 0 = 666.

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 a junction number, because it is equal to n+sod(n) for n = 296490195 and 296490204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 794694 + ... + 795066.

It is an arithmetic number, because the mean of its divisors is an integer number (3822280).

Almost surely, 2^296490240 is an apocalyptic number.

296490240 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 296490240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550408320).

296490240 is an abundant number, since it is smaller than the sum of its proper divisors (804326400).

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

296490240 is a wasteful number, since it uses less digits than its factorization.

296490240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 296490240 is about 17218.8919504131. The cubic root of 296490240 is about 666.8120927190.

The spelling of 296490240 in words is "two hundred ninety-six million, four hundred ninety thousand, two hundred forty".