292968144 has 160 divisors (see below), whose sum is σ = 1011840000. Its totient is φ = 79284096.

The previous prime is 292968131. The next prime is 292968149. The reversal of 292968144 is 441869292.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 292968144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (292968149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54907 + ... + 60005.

It is an arithmetic number, because the mean of its divisors is an integer number (6324000).

Almost surely, 2^292968144 is an apocalyptic number.

292968144 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 292968144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505920000).

292968144 is an abundant number, since it is smaller than the sum of its proper divisors (718871856).

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

292968144 is a wasteful number, since it uses less digits than its factorization.

292968144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5142 (or 5130 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 292968144 is about 17116.3122196342. The cubic root of 292968144 is about 664.1611478038.

The spelling of 292968144 in words is "two hundred ninety-two million, nine hundred sixty-eight thousand, one hundred forty-four".