467681760 has 576 divisors, whose sum is σ = 2034160128. Its totient is φ = 95219712.

The previous prime is 467681759. The next prime is 467681771. The reversal of 467681760 is 67186764.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5634679 + ... + 5634761.

It is an arithmetic number, because the mean of its divisors is an integer number (3531528).

Almost surely, 2^467681760 is an apocalyptic number.

467681760 is a gapful number since it is divisible by the number (40) 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 467681760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017080064).

467681760 is an abundant number, since it is smaller than the sum of its proper divisors (1566478368).

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

467681760 is a wasteful number, since it uses less digits than its factorization.

467681760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 467681760 is about 21625.9510773515. The cubic root of 467681760 is about 776.2175852101.

It can be divided in two parts, 4676 and 81760, that added together give a square (86436 = 294²).

The spelling of 467681760 in words is "four hundred sixty-seven million, six hundred eighty-one thousand, seven hundred sixty".