4172474880 has 480 divisors, whose sum is σ = 16944415488. Its totient is φ = 928972800.

The previous prime is 4172474851. The next prime is 4172474899. The reversal of 4172474880 is 884742714.

4172474880 is a `hidden beast` number, since 4 + 172 + 474 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6612165 + ... + 6612795.

Almost surely, 2^4172474880 is an apocalyptic number.

4172474880 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 4172474880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8472207744).

4172474880 is an abundant number, since it is smaller than the sum of its proper divisors (12771940608).

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

4172474880 is a wasteful number, since it uses less digits than its factorization.

4172474880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The square root of 4172474880 is about 64594.6969959609. The cubic root of 4172474880 is about 1609.8963296285.

The spelling of 4172474880 in words is "four billion, one hundred seventy-two million, four hundred seventy-four thousand, eight hundred eighty".