466075776 has 128 divisors (see below), whose sum is σ = 1316044800. Its totient is φ = 145732608.

The previous prime is 466075763. The next prime is 466075783. The reversal of 466075776 is 677570664.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 926341 + ... + 926843.

It is an arithmetic number, because the mean of its divisors is an integer number (10281600).

Almost surely, 2^466075776 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 466075776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658022400).

466075776 is an abundant number, since it is smaller than the sum of its proper divisors (849969024).

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

466075776 is a wasteful number, since it uses less digits than its factorization.

466075776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 48.

The square root of 466075776 is about 21588.7882012863. The cubic root of 466075776 is about 775.3280753199.

The spelling of 466075776 in words is "four hundred sixty-six million, seventy-five thousand, seven hundred seventy-six".