468162072 has 256 divisors, whose sum is σ = 1555200000. Its totient is φ = 130394880.

The previous prime is 468162059. The next prime is 468162077. The reversal of 468162072 is 270261864.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468162077) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5260204 + ... + 5260292.

It is an arithmetic number, because the mean of its divisors is an integer number (6075000).

Almost surely, 2^468162072 is an apocalyptic number.

468162072 is a gapful number since it is divisible by the number (42) 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 468162072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777600000).

468162072 is an abundant number, since it is smaller than the sum of its proper divisors (1087037928).

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

468162072 is a wasteful number, since it uses less digits than its factorization.

468162072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 468162072 is about 21637.0532189575. The cubic root of 468162072 is about 776.4832210147.

The spelling of 468162072 in words is "four hundred sixty-eight million, one hundred sixty-two thousand, seventy-two".