404742528 has 192 divisors, whose sum is σ = 1280242800. Its totient is φ = 125448192.

The previous prime is 404742509. The next prime is 404742539. The reversal of 404742528 is 825247404.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 404742492 and 404742501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4876375 + ... + 4876457.

Almost surely, 2^404742528 is an apocalyptic number.

404742528 is a gapful number since it is divisible by the number (48) 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 404742528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640121400).

404742528 is an abundant number, since it is smaller than the sum of its proper divisors (875500272).

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

404742528 is an equidigital number, since it uses as much as digits as its factorization.

404742528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 404742528 is about 20118.2138372173. The cubic root of 404742528 is about 739.7068037406.

The spelling of 404742528 in words is "four hundred four million, seven hundred forty-two thousand, five hundred twenty-eight".