465240932352 has 360 divisors, whose sum is σ = 1602850494336. Its totient is φ = 127140102144.

The previous prime is 465240932309. The next prime is 465240932353. The reversal of 465240932352 is 253239042564.

465240932352 is a `hidden beast` number, since 4 + 6 + 5 + 2 + 409 + 3 + 235 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 465240932298 and 465240932307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465240932353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23730618 + ... + 23750214.

Almost surely, 2^465240932352 is an apocalyptic number.

465240932352 is a gapful number since it is divisible by the number (42) 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 465240932352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801425247168).

465240932352 is an abundant number, since it is smaller than the sum of its proper divisors (1137609561984).

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

465240932352 is a wasteful number, since it uses less digits than its factorization.

465240932352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19661 (or 19632 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 465240932352 in words is "four hundred sixty-five billion, two hundred forty million, nine hundred thirty-two thousand, three hundred fifty-two".