464806272 has 192 divisors, whose sum is σ = 1492300800. Its totient is φ = 125549568.

The previous prime is 464806271. The next prime is 464806273. The reversal of 464806272 is 272608464.

It is an interprime number because it is at equal distance from previous prime (464806271) and next prime (464806273).

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 464806272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464806271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 970129 + ... + 970607.

It is an arithmetic number, because the mean of its divisors is an integer number (7772400).

Almost surely, 2^464806272 is an apocalyptic number.

464806272 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 464806272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746150400).

464806272 is an abundant number, since it is smaller than the sum of its proper divisors (1027494528).

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

464806272 is a wasteful number, since it uses less digits than its factorization.

464806272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 464806272 is about 21559.3662244510. The cubic root of 464806272 is about 774.6234852326.

The spelling of 464806272 in words is "four hundred sixty-four million, eight hundred six thousand, two hundred seventy-two".