394095172900 has 243 divisors, whose sum is σ = 1020191990643. Its totient is φ = 131982364800.

The previous prime is 394095172873. The next prime is 394095172921. The reversal of 394095172900 is 9271590493.

The square root of 394095172900 is 627770.

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

It can be written as a sum of positive squares in 4 ways, for example, as 101578613796 + 292516559104 = 318714^2 + 540848^2 .

It is a super-2 number, since 2×394095172900² (a number of 24 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 80 ways as a sum of consecutive naturals, for example, 897710881 + ... + 897711319.

Almost surely, 2^394095172900 is an apocalyptic number.

394095172900 is the 627770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 394095172900

394095172900 is an abundant number, since it is smaller than the sum of its proper divisors (626096817743).

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

394095172900 is a wasteful number, since it uses less digits than its factorization.

394095172900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 49.

Multiplying 394095172900 by its sum of digits (49), we get a square (19310663472100 = 4394390²).

The spelling of 394095172900 in words is "three hundred ninety-four billion, ninety-five million, one hundred seventy-two thousand, nine hundred".