929394144 has 72 divisors (see below), whose sum is σ = 3020537520. Its totient is φ = 265540608.

The previous prime is 929394119. The next prime is 929394161. The reversal of 929394144 is 441493929.

It is a tau number, because it is divible by the number of its divisors (72).

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 929394144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 228489 + ... + 232520.

It is an arithmetic number, because the mean of its divisors is an integer number (41951910).

Almost surely, 2^929394144 is an apocalyptic number.

It is an amenable number.

929394144 is an abundant number, since it is smaller than the sum of its proper divisors (2091143376).

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

929394144 is a wasteful number, since it uses less digits than its factorization.

929394144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461032 (or 461021 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 929394144 is about 30485.9663451891. The cubic root of 929394144 is about 975.8879988830.

The spelling of 929394144 in words is "nine hundred twenty-nine million, three hundred ninety-four thousand, one hundred forty-four".