465323040 has 576 divisors, whose sum is σ = 2020951296. Its totient is φ = 94887936.

The previous prime is 465323021. The next prime is 465323057. The reversal of 465323040 is 40323564.

465323040 is a `hidden beast` number, since 4 + 653 + 2 + 3 + 0 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 465322995 and 465323013.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6945087 + ... + 6945153.

It is an arithmetic number, because the mean of its divisors is an integer number (3508596).

Almost surely, 2^465323040 is an apocalyptic number.

465323040 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 465323040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010475648).

465323040 is an abundant number, since it is smaller than the sum of its proper divisors (1555628256).

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

465323040 is a wasteful number, since it uses less digits than its factorization.

465323040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 465323040 is about 21571.3476630460. The cubic root of 465323040 is about 774.9104523660.

The spelling of 465323040 in words is "four hundred sixty-five million, three hundred twenty-three thousand, forty".