466532640 has 288 divisors, whose sum is σ = 1879428096. Its totient is φ = 103127040.

The previous prime is 466532611. The next prime is 466532653. The reversal of 466532640 is 46235664.

466532640 is a `hidden beast` number, since 4 + 6 + 6 + 5 + 3 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 466532595 and 466532604.

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, 311734 + ... + 313226.

It is an arithmetic number, because the mean of its divisors is an integer number (6525792).

Almost surely, 2^466532640 is an apocalyptic number.

466532640 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 466532640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939714048).

466532640 is an abundant number, since it is smaller than the sum of its proper divisors (1412895456).

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

466532640 is a wasteful number, since it uses less digits than its factorization.

466532640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 466532640 is about 21599.3666573814. The cubic root of 466532640 is about 775.5813272784.

The spelling of 466532640 in words is "four hundred sixty-six million, five hundred thirty-two thousand, six hundred forty".