465404783088 has 160 divisors (see below), whose sum is σ = 1397248364032. Its totient is φ = 130730112000.

The previous prime is 465404783047. The next prime is 465404783101. The reversal of 465404783088 is 880387404564.

It is a super-2 number, since 2×465404783088² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57446238 + ... + 57454338.

Almost surely, 2^465404783088 is an apocalyptic number.

465404783088 is a gapful number since it is divisible by the number (48) 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 465404783088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698624182016).

465404783088 is an abundant number, since it is smaller than the sum of its proper divisors (931843580944).

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

465404783088 is a wasteful number, since it uses less digits than its factorization.

465404783088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10983 (or 10977 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 57.

The spelling of 465404783088 in words is "four hundred sixty-five billion, four hundred four million, seven hundred eighty-three thousand, eighty-eight".