404629152 has 48 divisors (see below), whose sum is σ = 1075616640. Its totient is φ = 133166592.

The previous prime is 404629109. The next prime is 404629153. The reversal of 404629152 is 251926404.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (404629153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19093 + ... + 34260.

It is an arithmetic number, because the mean of its divisors is an integer number (22408680).

Almost surely, 2^404629152 is an apocalyptic number.

It is an amenable number.

404629152 is an abundant number, since it is smaller than the sum of its proper divisors (670987488).

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

404629152 is a wasteful number, since it uses less digits than its factorization.

404629152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53445 (or 53437 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 404629152 is about 20115.3958946872. The cubic root of 404629152 is about 739.6377286910.

The spelling of 404629152 in words is "four hundred four million, six hundred twenty-nine thousand, one hundred fifty-two".