468133536 has 192 divisors, whose sum is σ = 1414361088. Its totient is φ = 134458368.

The previous prime is 468133517. The next prime is 468133541. The reversal of 468133536 is 635331864.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 468133494 and 468133503.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1348915 + ... + 1349261.

It is an arithmetic number, because the mean of its divisors is an integer number (7366464).

Almost surely, 2^468133536 is an apocalyptic number.

468133536 is a gapful number since it is divisible by the number (46) 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 468133536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707180544).

468133536 is an abundant number, since it is smaller than the sum of its proper divisors (946227552).

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

468133536 is a wasteful number, since it uses less digits than its factorization.

468133536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 435 counting only the distinct ones).

The product of its digits is 155520, while the sum is 39.

The square root of 468133536 is about 21636.3937845474. The cubic root of 468133536 is about 776.4674443021.

The spelling of 468133536 in words is "four hundred sixty-eight million, one hundred thirty-three thousand, five hundred thirty-six".