465368640 has 224 divisors, whose sum is σ = 1629241344. Its totient is φ = 111605760.

The previous prime is 465368639. The next prime is 465368641. The reversal of 465368640 is 46863564.

It is an interprime number because it is at equal distance from previous prime (465368639) and next prime (465368641).

It is a junction number, because it is equal to n+sod(n) for n = 465368592 and 465368601.

It is not an unprimeable number, because it can be changed into a prime (465368641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1340947 + ... + 1341293.

Almost surely, 2^465368640 is an apocalyptic number.

465368640 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 465368640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814620672).

465368640 is an abundant number, since it is smaller than the sum of its proper divisors (1163872704).

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

465368640 is a wasteful number, since it uses less digits than its factorization.

465368640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The square root of 465368640 is about 21572.4045947595. The cubic root of 465368640 is about 774.9357643604.

The spelling of 465368640 in words is "four hundred sixty-five million, three hundred sixty-eight thousand, six hundred forty".