4309638480 has 320 divisors, whose sum is σ = 17256038400. Its totient is φ = 968163840.

The previous prime is 4309638461. The next prime is 4309638481. The reversal of 4309638480 is 848369034.

4309638480 is a `hidden beast` number, since 4 + 3 + 0 + 9 + 638 + 4 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4309638481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 889665 + ... + 894495.

It is an arithmetic number, because the mean of its divisors is an integer number (53925120).

Almost surely, 2^4309638480 is an apocalyptic number.

4309638480 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 4309638480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8628019200).

4309638480 is an abundant number, since it is smaller than the sum of its proper divisors (12946399920).

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

4309638480 is a wasteful number, since it uses less digits than its factorization.

4309638480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4919 (or 4907 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 4309638480 is about 65647.8368265094. The cubic root of 4309638480 is about 1627.3474214030.

The spelling of 4309638480 in words is "four billion, three hundred nine million, six hundred thirty-eight thousand, four hundred eighty".