239629040 has 80 divisors (see below), whose sum is σ = 639482880. Its totient is φ = 81803520.

The previous prime is 239629037. The next prime is 239629063. The reversal of 239629040 is 40926932.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×239629040² = 114844153622643200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 150971 + ... + 152549.

It is an arithmetic number, because the mean of its divisors is an integer number (7993536).

Almost surely, 2^239629040 is an apocalyptic number.

239629040 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 239629040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319741440).

239629040 is an abundant number, since it is smaller than the sum of its proper divisors (399853840).

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

239629040 is a wasteful number, since it uses less digits than its factorization.

239629040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1870 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 239629040 is about 15479.9560722891. The cubic root of 239629040 is about 621.1261530362.

The spelling of 239629040 in words is "two hundred thirty-nine million, six hundred twenty-nine thousand, forty".