465077760 has 320 divisors, whose sum is σ = 1748888064. Its totient is φ = 103219200.

The previous prime is 465077759. The next prime is 465077783. The reversal of 465077760 is 67770564.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Smith number, since the sum of its digits (42) 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 (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2204055 + ... + 2204265.

Almost surely, 2^465077760 is an apocalyptic number.

465077760 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 465077760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874444032).

465077760 is an abundant number, since it is smaller than the sum of its proper divisors (1283810304).

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

465077760 is a wasteful number, since it uses less digits than its factorization.

465077760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 42.

The square root of 465077760 is about 21565.6615943031. The cubic root of 465077760 is about 774.7742721030.

The spelling of 465077760 in words is "four hundred sixty-five million, seventy-seven thousand, seven hundred sixty".