153838404 has 18 divisors (see below), whose sum is σ = 388869390. Its totient is φ = 51279456.

The previous prime is 153838403. The next prime is 153838427. The reversal of 153838404 is 404838351.

It can be written as a sum of positive squares in only one way, i.e., 89870400 + 63968004 = 9480^2 + 7998^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 4273289 = 153838404 / (1 + 5 + 3 + 8 + 3 + 8 + 4 + 0 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153838403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2136609 + ... + 2136680.

It is an arithmetic number, because the mean of its divisors is an integer number (21603855).

Almost surely, 2^153838404 is an apocalyptic number.

It is an amenable number.

153838404 is an abundant number, since it is smaller than the sum of its proper divisors (235030986).

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

153838404 is a wasteful number, since it uses less digits than its factorization.

153838404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4273299 (or 4273294 counting only the distinct ones).

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

The square root of 153838404 is about 12403.1610487004. The cubic root of 153838404 is about 535.8232923475.

The spelling of 153838404 in words is "one hundred fifty-three million, eight hundred thirty-eight thousand, four hundred four".