467996928 has 144 divisors (see below), whose sum is σ = 1433220096. Its totient is φ = 132802560.

The previous prime is 467996917. The next prime is 467996929. The reversal of 467996928 is 829699764.

It is a super-2 number, since 2×467996928² = 438042249234874368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (467996929) 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 15 ways as a sum of consecutive naturals, for example, 1413723 + ... + 1414053.

Almost surely, 2^467996928 is an apocalyptic number.

467996928 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 467996928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716610048).

467996928 is an abundant number, since it is smaller than the sum of its proper divisors (965223168).

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

467996928 is a wasteful number, since it uses less digits than its factorization.

467996928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 606 counting only the distinct ones).

The product of its digits is 11757312, while the sum is 60.

The square root of 467996928 is about 21633.2366510423. The cubic root of 467996928 is about 776.3919088862.

The spelling of 467996928 in words is "four hundred sixty-seven million, nine hundred ninety-six thousand, nine hundred twenty-eight".