467321280 has 224 divisors, whose sum is σ = 1573060608. Its totient is φ = 117350400.

The previous prime is 467321273. The next prime is 467321287. The reversal of 467321280 is 82123764.

It is an interprime number because it is at equal distance from previous prime (467321273) and next prime (467321287).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467321287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1219969 + ... + 1220351.

It is an arithmetic number, because the mean of its divisors is an integer number (7022592).

Almost surely, 2^467321280 is an apocalyptic number.

467321280 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 467321280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786530304).

467321280 is an abundant number, since it is smaller than the sum of its proper divisors (1105739328).

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

467321280 is a wasteful number, since it uses less digits than its factorization.

467321280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 467321280 is about 21617.6150395921. The cubic root of 467321280 is about 776.0181028122.

The spelling of 467321280 in words is "four hundred sixty-seven million, three hundred twenty-one thousand, two hundred eighty".