467400960 has 216 divisors, whose sum is σ = 1742113464. Its totient is φ = 115015680.

The previous prime is 467400959. The next prime is 467401001. The reversal of 467400960 is 69004764.

It can be written as a sum of positive squares in 4 ways, for example, as 29419776 + 437981184 = 5424^2 + 20928^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 8.

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, 148200 + ... + 151320.

Almost surely, 2^467400960 is an apocalyptic number.

467400960 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 467400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871056732).

467400960 is an abundant number, since it is smaller than the sum of its proper divisors (1274712504).

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

467400960 is a wasteful number, since it uses less digits than its factorization.

467400960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3161 (or 3144 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 467400960 is about 21619.4579025470. The cubic root of 467400960 is about 776.0622049543.

The spelling of 467400960 in words is "four hundred sixty-seven million, four hundred thousand, nine hundred sixty".