468136032 has 192 divisors, whose sum is σ = 1550513664. Its totient is φ = 120360960.

The previous prime is 468136007. The next prime is 468136033. The reversal of 468136032 is 230631864.

It is a junction number, because it is equal to n+sod(n) for n = 468135984 and 468136002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468136033) 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, 357523 + ... + 358829.

It is an arithmetic number, because the mean of its divisors is an integer number (8075592).

Almost surely, 2^468136032 is an apocalyptic number.

468136032 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 468136032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775256832).

468136032 is an abundant number, since it is smaller than the sum of its proper divisors (1082377632).

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

468136032 is a wasteful number, since it uses less digits than its factorization.

468136032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 468136032 is about 21636.4514650624. The cubic root of 468136032 is about 776.4688242924.

Adding to 468136032 its reverse (230631864), we get a palindrome (698767896).

The spelling of 468136032 in words is "four hundred sixty-eight million, one hundred thirty-six thousand, thirty-two".