467866080 has 144 divisors (see below), whose sum is σ = 1741796784. Its totient is φ = 113418240.

The previous prime is 467866079. The next prime is 467866081. The reversal of 467866080 is 80668764.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (467866079) and next prime (467866081).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467866081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1072 + ... + 30608.

It is an arithmetic number, because the mean of its divisors is an integer number (12095811).

Almost surely, 2^467866080 is an apocalyptic number.

467866080 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 467866080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870898392).

467866080 is an abundant number, since it is smaller than the sum of its proper divisors (1273930704).

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

467866080 is a wasteful number, since it uses less digits than its factorization.

467866080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29569 (or 29558 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 467866080 is about 21630.2122042295. The cubic root of 467866080 is about 776.3195445950.

The spelling of 467866080 in words is "four hundred sixty-seven million, eight hundred sixty-six thousand, eighty".