468459072 has 224 divisors, whose sum is σ = 1501079040. Its totient is φ = 142663680.

The previous prime is 468459059. The next prime is 468459083. The reversal of 468459072 is 270954864.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1086697 + ... + 1087127.

Almost surely, 2^468459072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468459072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750539520).

468459072 is an abundant number, since it is smaller than the sum of its proper divisors (1032619968).

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

468459072 is a wasteful number, since it uses less digits than its factorization.

468459072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 468459072 is about 21643.9153574394. The cubic root of 468459072 is about 776.6473855070.

It can be divided in two parts, 4 and 68459072, that added together give a square (68459076 = 8274²).

The spelling of 468459072 in words is "four hundred sixty-eight million, four hundred fifty-nine thousand, seventy-two".