153838440 has 576 divisors, whose sum is σ = 672235200. Its totient is φ = 31352832.

The previous prime is 153838439. The next prime is 153838441. The reversal of 153838440 is 44838351.

153838440 is a `hidden beast` number, since 1 + 538 + 3 + 84 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (153838439) and next prime (153838441).

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 = 153838395 and 153838404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153838441) 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 143 ways as a sum of consecutive naturals, for example, 8096751 + ... + 8096769.

It is an arithmetic number, because the mean of its divisors is an integer number (1167075).

Almost surely, 2^153838440 is an apocalyptic number.

153838440 is a gapful number since it is divisible by the number (10) 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 153838440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336117600).

153838440 is an abundant number, since it is smaller than the sum of its proper divisors (518396760).

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

153838440 is a wasteful number, since it uses less digits than its factorization.

153838440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 153838440 is about 12403.1624999433. The cubic root of 153838440 is about 535.8233341438.

The spelling of 153838440 in words is "one hundred fifty-three million, eight hundred thirty-eight thousand, four hundred forty".