468965280 has 288 divisors, whose sum is σ = 1742985216. Its totient is φ = 105670656.

The previous prime is 468965261. The next prime is 468965317. The reversal of 468965280 is 82569864.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2986962 + ... + 2987118.

It is an arithmetic number, because the mean of its divisors is an integer number (6052032).

Almost surely, 2^468965280 is an apocalyptic number.

468965280 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 468965280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871492608).

468965280 is an abundant number, since it is smaller than the sum of its proper divisors (1274019936).

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

468965280 is a wasteful number, since it uses less digits than its factorization.

468965280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 468965280 is about 21655.6062025518. The cubic root of 468965280 is about 776.9270282904.

The spelling of 468965280 in words is "four hundred sixty-eight million, nine hundred sixty-five thousand, two hundred eighty".