4953312 has 216 divisors, whose sum is σ = 18299736. Its totient is φ = 1306368.

The previous prime is 4953293. The next prime is 4953313. The reversal of 4953312 is 2133594.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4953313) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 381018 + ... + 381030.

It is an arithmetic number, because the mean of its divisors is an integer number (84721).

Almost surely, 2^4953312 is an apocalyptic number.

4953312 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 4953312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9149868).

4953312 is an abundant number, since it is smaller than the sum of its proper divisors (13346424).

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

4953312 is a wasteful number, since it uses less digits than its factorization.

4953312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 25 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 4953312 is about 2225.6037383146. The cubic root of 4953312 is about 170.4636937054.

It can be divided in two parts, 49 and 53312, that added together give a square (53361 = 231²).

The spelling of 4953312 in words is "four million, nine hundred fifty-three thousand, three hundred twelve".