468533736 has 288 divisors, whose sum is σ = 1551700800. Its totient is φ = 126382080.

The previous prime is 468533731. The next prime is 468533789. The reversal of 468533736 is 637335864.

468533736 is a `hidden beast` number, since 46 + 8 + 533 + 73 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 468533691 and 468533700.

It is not an unprimeable number, because it can be changed into a prime (468533731) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5264380 + ... + 5264468.

It is an arithmetic number, because the mean of its divisors is an integer number (5387850).

Almost surely, 2^468533736 is an apocalyptic number.

468533736 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 468533736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775850400).

468533736 is an abundant number, since it is smaller than the sum of its proper divisors (1083167064).

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

468533736 is a wasteful number, since it uses less digits than its factorization.

468533736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 145 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The square root of 468533736 is about 21645.6401152749. The cubic root of 468533736 is about 776.6886445507.

The spelling of 468533736 in words is "four hundred sixty-eight million, five hundred thirty-three thousand, seven hundred thirty-six".