467343744 has 192 divisors, whose sum is σ = 1469583360. Its totient is φ = 128894976.

The previous prime is 467343727. The next prime is 467343803. The reversal of 467343744 is 447343764.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 = 467343696 and 467343705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3679809 + ... + 3679935.

It is an arithmetic number, because the mean of its divisors is an integer number (7654080).

Almost surely, 2^467343744 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 467343744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734791680).

467343744 is an abundant number, since it is smaller than the sum of its proper divisors (1002239616).

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

467343744 is a wasteful number, since it uses less digits than its factorization.

467343744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 176 counting only the distinct ones).

The product of its digits is 677376, while the sum is 42.

The square root of 467343744 is about 21618.1346096281. The cubic root of 467343744 is about 776.0305369355.

The spelling of 467343744 in words is "four hundred sixty-seven million, three hundred forty-three thousand, seven hundred forty-four".