465503040 has 336 divisors, whose sum is σ = 1730776320. Its totient is φ = 114462720.

The previous prime is 465503009. The next prime is 465503047. The reversal of 465503040 is 40305564.

465503040 is a `hidden beast` number, since 4 + 655 + 0 + 3 + 0 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 465502995 and 465503013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465503047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2571750 + ... + 2571930.

It is an arithmetic number, because the mean of its divisors is an integer number (5151120).

Almost surely, 2^465503040 is an apocalyptic number.

465503040 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 465503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865388160).

465503040 is an abundant number, since it is smaller than the sum of its proper divisors (1265273280).

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

465503040 is a wasteful number, since it uses less digits than its factorization.

465503040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 465503040 is about 21575.5194607221. The cubic root of 465503040 is about 775.0103585157.

The spelling of 465503040 in words is "four hundred sixty-five million, five hundred three thousand, forty".