465067776 has 144 divisors (see below), whose sum is σ = 1324512000. Its totient is φ = 144359424.

The previous prime is 465067717. The next prime is 465067781. The reversal of 465067776 is 677760564.

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

It is a congruent number.

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, 2336925 + ... + 2337123.

It is an arithmetic number, because the mean of its divisors is an integer number (9198000).

Almost surely, 2^465067776 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 465067776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662256000).

465067776 is an abundant number, since it is smaller than the sum of its proper divisors (859444224).

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

465067776 is a wasteful number, since it uses less digits than its factorization.

465067776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 400 counting only the distinct ones).

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

The square root of 465067776 is about 21565.4301139578. The cubic root of 465067776 is about 774.7687279393.

The spelling of 465067776 in words is "four hundred sixty-five million, sixty-seven thousand, seven hundred seventy-six".