4972416 has 64 divisors (see below), whose sum is σ = 13806720. Its totient is φ = 1582592.

The previous prime is 4972411. The next prime is 4972417. The reversal of 4972416 is 6142794.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4972411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8551 + ... + 9113.

It is an arithmetic number, because the mean of its divisors is an integer number (215730).

Almost surely, 2^4972416 is an apocalyptic number.

4972416 is a gapful number since it is divisible by the number (46) 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 4972416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6903360).

4972416 is an abundant number, since it is smaller than the sum of its proper divisors (8834304).

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

4972416 is a wasteful number, since it uses less digits than its factorization.

4972416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 591 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 4972416 is about 2229.8914771800. The cubic root of 4972416 is about 170.6825614536.

The spelling of 4972416 in words is "four million, nine hundred seventy-two thousand, four hundred sixteen".