468483120 has 300 divisors, whose sum is σ = 1842206496. Its totient is φ = 106686720.

The previous prime is 468483107. The next prime is 468483143. The reversal of 468483120 is 21384864.

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 59 ways as a sum of consecutive naturals, for example, 1728585 + ... + 1728855.

Almost surely, 2^468483120 is an apocalyptic number.

468483120 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 468483120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921103248).

468483120 is an abundant number, since it is smaller than the sum of its proper divisors (1373723376).

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

468483120 is a wasteful number, since it uses less digits than its factorization.

468483120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 468483120 is about 21644.4708875038. The cubic root of 468483120 is about 776.6606748194.

The spelling of 468483120 in words is "four hundred sixty-eight million, four hundred eighty-three thousand, one hundred twenty".