466485407640 has 768 divisors, whose sum is σ = 1955638080000. Its totient is φ = 98275451904.

The previous prime is 466485407627. The next prime is 466485407767. The reversal of 466485407640 is 46704584664.

It is a happy number.

466485407640 is a `hidden beast` number, since 4 + 66 + 485 + 40 + 7 + 64 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37196491 + ... + 37209029.

It is an arithmetic number, because the mean of its divisors is an integer number (2546403750).

Almost surely, 2^466485407640 is an apocalyptic number.

466485407640 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 466485407640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977819040000).

466485407640 is an abundant number, since it is smaller than the sum of its proper divisors (1489152672360).

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

466485407640 is a wasteful number, since it uses less digits than its factorization.

466485407640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12629 (or 12612 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 466485407640 in words is "four hundred sixty-six billion, four hundred eighty-five million, four hundred seven thousand, six hundred forty".