467260992 has 168 divisors, whose sum is σ = 1512051840. Its totient is φ = 136657920.

The previous prime is 467260987. The next prime is 467260993. The reversal of 467260992 is 299062764.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (467260993) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 182473 + ... + 185015.

Almost surely, 2^467260992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 467260992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756025920).

467260992 is an abundant number, since it is smaller than the sum of its proper divisors (1044790848).

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

467260992 is a wasteful number, since it uses less digits than its factorization.

467260992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2601 (or 2588 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 467260992 is about 21616.2205762247. The cubic root of 467260992 is about 775.9847306309.

The spelling of 467260992 in words is "four hundred sixty-seven million, two hundred sixty thousand, nine hundred ninety-two".