466925102820 has 288 divisors, whose sum is σ = 1562975930880. Its totient is φ = 111888000000.

The previous prime is 466925102731. The next prime is 466925102869. The reversal of 466925102820 is 28201529664.

466925102820 is a `hidden beast` number, since 4 + 6 + 6 + 92 + 510 + 28 + 20 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 150183426 + ... + 150186534.

It is an arithmetic number, because the mean of its divisors is an integer number (5426999760).

Almost surely, 2^466925102820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466925102820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781487965440).

466925102820 is an abundant number, since it is smaller than the sum of its proper divisors (1096050828060).

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

466925102820 is a wasteful number, since it uses less digits than its factorization.

466925102820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3987 (or 3982 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 466925102820 in words is "four hundred sixty-six billion, nine hundred twenty-five million, one hundred two thousand, eight hundred twenty".