468051480 has 512 divisors, whose sum is σ = 1861574400. Its totient is φ = 103514112.

The previous prime is 468051469. The next prime is 468051499. The reversal of 468051480 is 84150864.

468051480 is a `hidden beast` number, since 4 + 68 + 0 + 514 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8831134 + ... + 8831186.

Almost surely, 2^468051480 is an apocalyptic number.

468051480 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 468051480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930787200).

468051480 is an abundant number, since it is smaller than the sum of its proper divisors (1393522920).

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

468051480 is a wasteful number, since it uses less digits than its factorization.

468051480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 468051480 is about 21634.4974519863. The cubic root of 468051480 is about 776.4220743875.

The spelling of 468051480 in words is "four hundred sixty-eight million, fifty-one thousand, four hundred eighty".