464218272 has 144 divisors (see below), whose sum is σ = 1515084480. Its totient is φ = 132074496.

The previous prime is 464218267. The next prime is 464218301. The reversal of 464218272 is 272812464.

464218272 is a `hidden beast` number, since 4 + 642 + 1 + 8 + 2 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 824263 + ... + 824825.

It is an arithmetic number, because the mean of its divisors is an integer number (10521420).

Almost surely, 2^464218272 is an apocalyptic number.

464218272 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 464218272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757542240).

464218272 is an abundant number, since it is smaller than the sum of its proper divisors (1050866208).

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

464218272 is a wasteful number, since it uses less digits than its factorization.

464218272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 984 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 464218272 is about 21545.7251444457. The cubic root of 464218272 is about 774.2967033462.

The spelling of 464218272 in words is "four hundred sixty-four million, two hundred eighteen thousand, two hundred seventy-two".