4435476480 has 264 divisors, whose sum is σ = 15703470432. Its totient is φ = 1157627904.

The previous prime is 4435476403. The next prime is 4435476499. The reversal of 4435476480 is 846745344.

4435476480 is a `hidden beast` number, since 4 + 43 + 547 + 64 + 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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94371817 + ... + 94371863.

Almost surely, 2^4435476480 is an apocalyptic number.

4435476480 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 4435476480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7851735216).

4435476480 is an abundant number, since it is smaller than the sum of its proper divisors (11267993952).

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

4435476480 is an frugal number, since it uses more digits than its factorization.

4435476480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 57 counting only the distinct ones).

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

The square root of 4435476480 is about 66599.3729700213. The cubic root of 4435476480 is about 1643.0347931538.

The spelling of 4435476480 in words is "four billion, four hundred thirty-five million, four hundred seventy-six thousand, four hundred eighty".