404153442 has 192 divisors, whose sum is σ = 1167022080. Its totient is φ = 100699200.

The previous prime is 404153437. The next prime is 404153459. The reversal of 404153442 is 244351404.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5692267 + ... + 5692337.

It is an arithmetic number, because the mean of its divisors is an integer number (6078240).

Almost surely, 2^404153442 is an apocalyptic number.

404153442 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 404153442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583511040).

404153442 is an abundant number, since it is smaller than the sum of its proper divisors (762868638).

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

404153442 is a wasteful number, since it uses less digits than its factorization.

404153442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 404153442 is about 20103.5678922922. The cubic root of 404153442 is about 739.3477586119.

The spelling of 404153442 in words is "four hundred four million, one hundred fifty-three thousand, four hundred forty-two".