292996872 has 384 divisors, whose sum is σ = 1050624000. Its totient is φ = 75116160.

The previous prime is 292996871. The next prime is 292996933. The reversal of 292996872 is 278699292.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1959552) is a multiple of the sum of its prime factors (126).

It is not an unprimeable number, because it can be changed into a prime (292996871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6233953 + ... + 6233999.

It is an arithmetic number, because the mean of its divisors is an integer number (2736000).

Almost surely, 2^292996872 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 292996872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525312000).

292996872 is an abundant number, since it is smaller than the sum of its proper divisors (757627128).

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

292996872 is a wasteful number, since it uses less digits than its factorization.

292996872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 109 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 292996872 is about 17117.1513985242. The cubic root of 292996872 is about 664.1828559636.

The spelling of 292996872 in words is "two hundred ninety-two million, nine hundred ninety-six thousand, eight hundred seventy-two".