472005171462400 has 81 divisors (see below), whose sum is σ = 1168290852149533. Its totient is φ = 188801373363200.

The previous prime is 472005171462373. The next prime is 472005171462443. The reversal of 472005171462400 is 4264171500274.

The square root of 472005171462400 is 21725680.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 169921861726464 + 302083309735936 = 13035408^2 + 17380544^2 .

It is a super-2 number, since 2×472005171462400² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1737918615 + ... + 1738190185.

Almost surely, 2^{472005171462400} is an apocalyptic number.

472005171462400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

472005171462400 is the 21725680-th square number.

It is an amenable number.

472005171462400 is an abundant number, since it is smaller than the sum of its proper divisors (696285680687133).

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

472005171462400 is an frugal number, since it uses more digits than its factorization.

472005171462400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543168 (or 271578 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 43.

The spelling of 472005171462400 in words is "four hundred seventy-two trillion, five billion, one hundred seventy-one million, four hundred sixty-two thousand, four hundred".