468156480 has 224 divisors, whose sum is σ = 1660843008. Its totient is φ = 110745600.

The previous prime is 468156419. The next prime is 468156487. The reversal of 468156480 is 84651864.

It is a super-3 number, since 3×468156480³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468156487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 453565 + ... + 454595.

Almost surely, 2^468156480 is an apocalyptic number.

468156480 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 468156480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830421504).

468156480 is an abundant number, since it is smaller than the sum of its proper divisors (1192686528).

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

468156480 is a wasteful number, since it uses less digits than its factorization.

468156480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 468156480 is about 21636.9239957994. The cubic root of 468156480 is about 776.4801294134.

The spelling of 468156480 in words is "four hundred sixty-eight million, one hundred fifty-six thousand, four hundred eighty".