4466499840 has 576 divisors, whose sum is σ = 17895628800. Its totient is φ = 1045094400.

The previous prime is 4466499839. The next prime is 4466499857. The reversal of 4466499840 is 489946644.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 11784771 + ... + 11785149.

It is an arithmetic number, because the mean of its divisors is an integer number (31068800).

Almost surely, 2^4466499840 is an apocalyptic number.

4466499840 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 4466499840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8947814400).

4466499840 is an abundant number, since it is smaller than the sum of its proper divisors (13429128960).

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

4466499840 is a wasteful number, since it uses less digits than its factorization.

4466499840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The square root of 4466499840 is about 66831.8774238761. The cubic root of 4466499840 is about 1646.8565606448.

The spelling of 4466499840 in words is "four billion, four hundred sixty-six million, four hundred ninety-nine thousand, eight hundred forty".