4172460000 has 240 divisors, whose sum is σ = 13794946704. Its totient is φ = 1103872000.

The previous prime is 4172459989. The next prime is 4172460001. The reversal of 4172460000 is 642714.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4172460001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11819824 + ... + 11820176.

Almost surely, 2^4172460000 is an apocalyptic number.

4172460000 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 4172460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6897473352).

4172460000 is an abundant number, since it is smaller than the sum of its proper divisors (9622486704).

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

4172460000 is a wasteful number, since it uses less digits than its factorization.

4172460000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 4172460000 is about 64594.5818161245. The cubic root of 4172460000 is about 1609.8944158734.

The spelling of 4172460000 in words is "four billion, one hundred seventy-two million, four hundred sixty thousand".