467517960 has 512 divisors, whose sum is σ = 1974067200. Its totient is φ = 95800320.

The previous prime is 467517949. The next prime is 467518013. The reversal of 467517960 is 69715764.

It is a happy number.

467517960 is a `hidden beast` number, since 46 + 7 + 517 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6584725 + ... + 6584795.

It is an arithmetic number, because the mean of its divisors is an integer number (3855600).

Almost surely, 2^467517960 is an apocalyptic number.

467517960 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 467517960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987033600).

467517960 is an abundant number, since it is smaller than the sum of its proper divisors (1506549240).

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

467517960 is a wasteful number, since it uses less digits than its factorization.

467517960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 467517960 is about 21622.1636290173. The cubic root of 467517960 is about 776.1269542884.

The spelling of 467517960 in words is "four hundred sixty-seven million, five hundred seventeen thousand, nine hundred sixty".