4473401760 has 288 divisors, whose sum is σ = 16561398672. Its totient is φ = 1095106560.

The previous prime is 4473401759. The next prime is 4473401761. The reversal of 4473401760 is 671043744.

It is a happy number.

4473401760 is a `hidden beast` number, since 447 + 3 + 40 + 176 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4473401759) and next prime (4473401761).

It can be written as a sum of positive squares in 8 ways, for example, as 1787260176 + 2686141584 = 42276^2 + 51828^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×4473401760² = 40022646612742195200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4473401761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1001452 + ... + 1005908.

Almost surely, 2^4473401760 is an apocalyptic number.

4473401760 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 4473401760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8280699336).

4473401760 is an abundant number, since it is smaller than the sum of its proper divisors (12087996912).

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

4473401760 is a wasteful number, since it uses less digits than its factorization.

4473401760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4536 (or 4525 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 4473401760 is about 66883.4939278743. The cubic root of 4473401760 is about 1647.7043999619.

The spelling of 4473401760 in words is "four billion, four hundred seventy-three million, four hundred one thousand, seven hundred sixty".