4465347840 has 324 divisors, whose sum is σ = 16467492132. Its totient is φ = 1113292800.

The previous prime is 4465347829. The next prime is 4465347863. The reversal of 4465347840 is 487435644.

4465347840 is a `hidden beast` number, since 4 + 4 + 6 + 534 + 78 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2574141696 + 1891206144 = 50736^2 + 43488^2 .

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 35 ways as a sum of consecutive naturals, for example, 29571765 + ... + 29571915.

It is an arithmetic number, because the mean of its divisors is an integer number (50825593).

Almost surely, 2^4465347840 is an apocalyptic number.

4465347840 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 4465347840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8233746066).

4465347840 is an abundant number, since it is smaller than the sum of its proper divisors (12002144292).

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

4465347840 is a wasteful number, since it uses less digits than its factorization.

4465347840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The square root of 4465347840 is about 66823.2582264588. The cubic root of 4465347840 is about 1646.7149626780.

The spelling of 4465347840 in words is "four billion, four hundred sixty-five million, three hundred forty-seven thousand, eight hundred forty".