465400313280 has 560 divisors, whose sum is σ = 1904654332416. Its totient is φ = 105666508800.

The previous prime is 465400313263. The next prime is 465400313281. The reversal of 465400313280 is 82313004564.

465400313280 is a `hidden beast` number, since 4 + 6 + 540 + 0 + 3 + 1 + 32 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×465400313280² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465400313281) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27388947 + ... + 27405933.

Almost surely, 2^465400313280 is an apocalyptic number.

465400313280 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 465400313280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952327166208).

465400313280 is an abundant number, since it is smaller than the sum of its proper divisors (1439254019136).

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

465400313280 is a wasteful number, since it uses less digits than its factorization.

465400313280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17174 (or 17155 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 465400313280 in words is "four hundred sixty-five billion, four hundred million, three hundred thirteen thousand, two hundred eighty".