4973284440 has 256 divisors, whose sum is σ = 16920576000. Its totient is φ = 1299110400.

The previous prime is 4973284429. The next prime is 4973284469. The reversal of 4973284440 is 444823794.

It is a super-2 number, since 2×4973284440² = 49467116242292227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13852981 + ... + 13853339.

It is an arithmetic number, because the mean of its divisors is an integer number (66096000).

Almost surely, 2^4973284440 is an apocalyptic number.

4973284440 is a gapful number since it is divisible by the number (40) 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 4973284440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8460288000).

4973284440 is an abundant number, since it is smaller than the sum of its proper divisors (11947291560).

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

4973284440 is a wasteful number, since it uses less digits than its factorization.

4973284440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 4973284440 is about 70521.5175673354. The cubic root of 4973284440 is about 1706.9249753134.

The spelling of 4973284440 in words is "four billion, nine hundred seventy-three million, two hundred eighty-four thousand, four hundred forty".