4660172400 has 240 divisors, whose sum is σ = 16632372960. Its totient is φ = 1107456000.

The previous prime is 4660172383. The next prime is 4660172411. The reversal of 4660172400 is 42710664.

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

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 447250 + ... + 457550.

It is an arithmetic number, because the mean of its divisors is an integer number (69301554).

Almost surely, 2^4660172400 is an apocalyptic number.

4660172400 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 4660172400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8316186480).

4660172400 is an abundant number, since it is smaller than the sum of its proper divisors (11972200560).

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

4660172400 is a wasteful number, since it uses less digits than its factorization.

4660172400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10364 (or 10353 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 4660172400 is about 68265.4553928999. The cubic root of 4660172400 is about 1670.3237686050.

The spelling of 4660172400 in words is "four billion, six hundred sixty million, one hundred seventy-two thousand, four hundred".