4465299456 has 156 divisors (see below), whose sum is σ = 13052686140. Its totient is φ = 1470627840.

The previous prime is 4465299451. The next prime is 4465299457. The reversal of 4465299456 is 6549925644.

4465299456 is a `hidden beast` number, since 44 + 65 + 2 + 99 + 456 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 807469056 + 3657830400 = 28416^2 + 60480^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4465299451) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3280216 + ... + 3281576.

It is an arithmetic number, because the mean of its divisors is an integer number (83671065).

Almost surely, 2^4465299456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4465299456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6526343070).

4465299456 is an abundant number, since it is smaller than the sum of its proper divisors (8587386684).

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

4465299456 is a wasteful number, since it uses less digits than its factorization.

4465299456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480 (or 1455 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The square root of 4465299456 is about 66822.8961958399. The cubic root of 4465299456 is about 1646.7090150306.

The spelling of 4465299456 in words is "four billion, four hundred sixty-five million, two hundred ninety-nine thousand, four hundred fifty-six".