467813136 has 160 divisors (see below), whose sum is σ = 1467842560. Its totient is φ = 125411328.

The previous prime is 467813111. The next prime is 467813147. The reversal of 467813136 is 631318764.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 467813094 and 467813103.

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, 810480 + ... + 811056.

It is an arithmetic number, because the mean of its divisors is an integer number (9174016).

Almost surely, 2^467813136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 467813136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733921280).

467813136 is an abundant number, since it is smaller than the sum of its proper divisors (1000029424).

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

467813136 is a wasteful number, since it uses less digits than its factorization.

467813136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 735 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 467813136 is about 21628.9883258557. The cubic root of 467813136 is about 776.2902605654.

The spelling of 467813136 in words is "four hundred sixty-seven million, eight hundred thirteen thousand, one hundred thirty-six".