4460857920 has 168 divisors, whose sum is σ = 15912047424. Its totient is φ = 1189541376.

The previous prime is 4460857909. The next prime is 4460857949. The reversal of 4460857920 is 297580644.

It is a happy number.

It is a super-3 number, since 3×4460857920³ (a number of 30 digits) contains 333 as substring.

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

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, 49077 + ... + 106443.

It is an arithmetic number, because the mean of its divisors is an integer number (94714568).

Almost surely, 2^4460857920 is an apocalyptic number.

4460857920 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 4460857920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7956023712).

4460857920 is an abundant number, since it is smaller than the sum of its proper divisors (11451189504).

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

4460857920 is an equidigital number, since it uses as much as digits as its factorization.

4460857920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57399 (or 57377 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 4460857920 is about 66789.6542886696. The cubic root of 4460857920 is about 1646.1628520552.

The spelling of 4460857920 in words is "four billion, four hundred sixty million, eight hundred fifty-seven thousand, nine hundred twenty".