468024480 has 720 divisors, whose sum is σ = 2127365856. Its totient is φ = 95800320.

The previous prime is 468024461. The next prime is 468024497. The reversal of 468024480 is 84420864.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6985407 + ... + 6985473.

Almost surely, 2^468024480 is an apocalyptic number.

468024480 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 468024480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1063682928).

468024480 is an abundant number, since it is smaller than the sum of its proper divisors (1659341376).

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

468024480 is a wasteful number, since it uses less digits than its factorization.

468024480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 468024480 is about 21633.8734395854. The cubic root of 468024480 is about 776.4071445489.

The spelling of 468024480 in words is "four hundred sixty-eight million, twenty-four thousand, four hundred eighty".