465863040 has 192 divisors, whose sum is σ = 1661212800. Its totient is φ = 120176640.

The previous prime is 465863029. The next prime is 465863063. The reversal of 465863040 is 40368564.

465863040 is a `hidden beast` number, since 4 + 6 + 586 + 30 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a junction number, because it is equal to n+sod(n) for n = 465862986 and 465863004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177256 + ... + 179864.

It is an arithmetic number, because the mean of its divisors is an integer number (8652150).

Almost surely, 2^465863040 is an apocalyptic number.

465863040 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 465863040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830606400).

465863040 is an abundant number, since it is smaller than the sum of its proper divisors (1195349760).

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

465863040 is a wasteful number, since it uses less digits than its factorization.

465863040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2665 (or 2650 counting only the distinct ones).

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

The square root of 465863040 is about 21583.8606370593. The cubic root of 465863040 is about 775.2100935785.

The spelling of 465863040 in words is "four hundred sixty-five million, eight hundred sixty-three thousand, forty".