468157220 has 48 divisors (see below), whose sum is σ = 1051345008. Its totient is φ = 174489600.

The previous prime is 468157219. The next prime is 468157241. The reversal of 468157220 is 22751864.

It can be written as a sum of positive squares in 8 ways, for example, as 98287396 + 369869824 = 9914^2 + 19232^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27524 + ... + 41156.

It is an arithmetic number, because the mean of its divisors is an integer number (21903021).

Almost surely, 2^468157220 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 468157220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525672504).

468157220 is an abundant number, since it is smaller than the sum of its proper divisors (583187788).

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

468157220 is a wasteful number, since it uses less digits than its factorization.

468157220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13760 (or 13758 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 468157220 is about 21636.9410961901. The cubic root of 468157220 is about 776.4805385323.

The spelling of 468157220 in words is "four hundred sixty-eight million, one hundred fifty-seven thousand, two hundred twenty".