468759280 has 80 divisors (see below), whose sum is σ = 1205396064. Its totient is φ = 168099840.

The previous prime is 468759271. The next prime is 468759299. The reversal of 468759280 is 82957864.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×468759280² = 439470525172236800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60592 + ... + 67888.

Almost surely, 2^468759280 is an apocalyptic number.

468759280 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 468759280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602698032).

468759280 is an abundant number, since it is smaller than the sum of its proper divisors (736636784).

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

468759280 is a wasteful number, since it uses less digits than its factorization.

468759280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7394 (or 7388 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

The square root of 468759280 is about 21650.8494059702. The cubic root of 468759280 is about 776.8132526978.

The spelling of 468759280 in words is "four hundred sixty-eight million, seven hundred fifty-nine thousand, two hundred eighty".