467900160 has 432 divisors, whose sum is σ = 1867267584. Its totient is φ = 97763328.

The previous prime is 467900141. The next prime is 467900171. The reversal of 467900160 is 61009764.

It is a happy number.

It is a Cunningham number, because it is equal to 21631²-1.

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, 4542669 + ... + 4542771.

Almost surely, 2^467900160 is an apocalyptic number.

467900160 is a gapful number since it is divisible by the number (40) 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 467900160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933633792).

467900160 is an abundant number, since it is smaller than the sum of its proper divisors (1399367424).

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

467900160 is a wasteful number, since it uses less digits than its factorization.

467900160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 467900160 is about 21630.9999768850. Note that the first 4 decimals coincide. The cubic root of 467900160 is about 776.3383935270.

The spelling of 467900160 in words is "four hundred sixty-seven million, nine hundred thousand, one hundred sixty".