465902640 has 240 divisors, whose sum is σ = 1808509248. Its totient is φ = 105283584.

The previous prime is 465902623. The next prime is 465902641. The reversal of 465902640 is 46209564.

465902640 is a `hidden beast` number, since 4 + 6 + 5 + 9 + 0 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 465902595 and 465902604.

It is not an unprimeable number, because it can be changed into a prime (465902641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 488404 + ... + 489356.

Almost surely, 2^465902640 is an apocalyptic number.

465902640 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 465902640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904254624).

465902640 is an abundant number, since it is smaller than the sum of its proper divisors (1342606608).

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

465902640 is a wasteful number, since it uses less digits than its factorization.

465902640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 465902640 is about 21584.7779696711. Note that the first 3 decimals coincide. The cubic root of 465902640 is about 775.2320581527.

The spelling of 465902640 in words is "four hundred sixty-five million, nine hundred two thousand, six hundred forty".