467728404 has 144 divisors (see below), whose sum is σ = 1313827200. Its totient is φ = 128620800.

The previous prime is 467728379. The next prime is 467728411. The reversal of 467728404 is 404827764.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1340022 + ... + 1340370.

It is an arithmetic number, because the mean of its divisors is an integer number (9123800).

Almost surely, 2^467728404 is an apocalyptic number.

467728404 is a gapful number since it is divisible by the number (44) 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 467728404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656913600).

467728404 is an abundant number, since it is smaller than the sum of its proper divisors (846098796).

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

467728404 is a wasteful number, since it uses less digits than its factorization.

467728404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 42.

The square root of 467728404 is about 21627.0294770225. The cubic root of 467728404 is about 776.2433895729.

The spelling of 467728404 in words is "four hundred sixty-seven million, seven hundred twenty-eight thousand, four hundred four".