466204667040 has 576 divisors, whose sum is σ = 1903949349120. Its totient is φ = 106544471040.

The previous prime is 466204666987. The next prime is 466204667053. The reversal of 466204667040 is 40766402664.

466204667040 is a `hidden beast` number, since 4 + 66 + 20 + 466 + 70 + 40 = 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 95 ways as a sum of consecutive naturals, for example, 72603030 + ... + 72609450.

It is an arithmetic number, because the mean of its divisors is an integer number (3305467620).

Almost surely, 2^466204667040 is an apocalyptic number.

466204667040 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 466204667040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951974674560).

466204667040 is an abundant number, since it is smaller than the sum of its proper divisors (1437744682080).

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

466204667040 is an frugal number, since it uses more digits than its factorization.

466204667040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6480 (or 6438 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 466204667040 in words is "four hundred sixty-six billion, two hundred four million, six hundred sixty-seven thousand, forty".