466977960 has 192 divisors, whose sum is σ = 1592136000. Its totient is φ = 123088896.

The previous prime is 466977949. The next prime is 466977967. The reversal of 466977960 is 69779664.

466977960 is a `hidden beast` number, since 466 + 97 + 7 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 466977897 and 466977906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466977967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1039816 + ... + 1040264.

It is an arithmetic number, because the mean of its divisors is an integer number (8292375).

Almost surely, 2^466977960 is an apocalyptic number.

466977960 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 466977960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796068000).

466977960 is an abundant number, since it is smaller than the sum of its proper divisors (1125158040).

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

466977960 is a wasteful number, since it uses less digits than its factorization.

466977960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The square root of 466977960 is about 21609.6728341731. The cubic root of 466977960 is about 775.8280210162.

The spelling of 466977960 in words is "four hundred sixty-six million, nine hundred seventy-seven thousand, nine hundred sixty".